{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "[Gaussian Processes](https://en.wikipedia.org/wiki/Gaussian_process) have been used in supervised, unsupervised, and even reinforcement learning problems and are described by an elegant mathematical theory (for an overview of the subject see [1, 4]). They are also very attractive conceptually, since they offer an intuitive way to define priors over functions. And finally, since Gaussian Processes are formulated in a Bayesian setting, they come equipped with a powerful notion of uncertainty. \n",
    "\n",
    "Happily, Pyro offers some support for Gaussian Processes in the `pyro.contrib.gp` module. The goal of this tutorial is to give a brief introduction to Gaussian Processes (GPs) in the context of this module. We will mostly be focusing on how to use the GP interface in Pyro and refer the reader to the references for more details about GPs in general.\n",
    "\n",
    "The model we're interested in is defined by\n",
    "$$f \\sim \\mathcal{GP}\\left(0, \\mathbf{K}_f(x, x')\\right)$$\n",
    "\n",
    "and\n",
    "$$y = f(x) + \\epsilon,\\quad \\epsilon \\sim \\mathcal{N}\\left(0, \\beta^{-1}\\mathbf{I}\\right).$$\n",
    "\n",
    "Here $x, x' \\in\\mathbf{X}$ are points in the input space and $y\\in\\mathbf{Y}$ is a point in the output space. $f$ is a draw from the GP prior specified by the kernel $\\mathbf{K}_f$ and represents a function from $\\mathbf{X}$ to $\\mathbf{Y}$. Finally, $\\epsilon$ represents Gaussian observation noise.\n",
    "\n",
    "We will use the [radial basis function kernel](https://en.wikipedia.org/wiki/Radial_basis_function_kernel) (RBF kernel) as the kernel of our GP:\n",
    "$$ k(x,x') = \\sigma^2 \\exp\\left(-\\frac{\\|x-x'\\|^2}{2l^2}\\right).$$\n",
    "\n",
    "Here $\\sigma^2$ and $l$ are parameters that specify the kernel; specifically, $\\sigma^2$ is a variance or amplitude squared and $l$ is a lengthscale. We'll get some intuition for these parameters below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we import necessary modules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "\n",
    "import pyro\n",
    "import pyro.contrib.gp as gp\n",
    "import pyro.distributions as dist\n",
    "\n",
    "smoke_test = ('CI' in os.environ)  # ignore; used to check code integrity in the Pyro repo\n",
    "assert pyro.__version__.startswith('1.5.1')\n",
    "pyro.enable_validation(True)       # can help with debugging\n",
    "pyro.set_rng_seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Throughout the tutorial we'll want to visualize GPs. So we define a helper function for plotting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# note that this helper function does three different things: \n",
    "# (i) plots the observed data; \n",
    "# (ii) plots the predictions from the learned GP after conditioning on data; \n",
    "# (iii) plots samples from the GP prior (with no conditioning on observed data)\n",
    "\n",
    "def plot(plot_observed_data=False, plot_predictions=False, n_prior_samples=0, \n",
    "         model=None, kernel=None, n_test=500):\n",
    "\n",
    "    plt.figure(figsize=(12, 6))\n",
    "    if plot_observed_data:\n",
    "        plt.plot(X.numpy(), y.numpy(), 'kx') \n",
    "    if plot_predictions:\n",
    "        Xtest = torch.linspace(-0.5, 5.5, n_test)  # test inputs\n",
    "        # compute predictive mean and variance\n",
    "        with torch.no_grad():\n",
    "            if type(model) == gp.models.VariationalSparseGP:\n",
    "                mean, cov = model(Xtest, full_cov=True)\n",
    "            else:\n",
    "                mean, cov = model(Xtest, full_cov=True, noiseless=False)\n",
    "        sd = cov.diag().sqrt()  # standard deviation at each input point x\n",
    "        plt.plot(Xtest.numpy(), mean.numpy(), 'r', lw=2)  # plot the mean\n",
    "        plt.fill_between(Xtest.numpy(),  # plot the two-sigma uncertainty about the mean\n",
    "                         (mean - 2.0 * sd).numpy(),\n",
    "                         (mean + 2.0 * sd).numpy(),\n",
    "                         color='C0', alpha=0.3)\n",
    "    if n_prior_samples > 0:  # plot samples from the GP prior\n",
    "        Xtest = torch.linspace(-0.5, 5.5, n_test)  # test inputs\n",
    "        noise = (model.noise if type(model) != gp.models.VariationalSparseGP\n",
    "                 else model.likelihood.variance)\n",
    "        cov = kernel.forward(Xtest) + noise.expand(n_test).diag()\n",
    "        samples = dist.MultivariateNormal(torch.zeros(n_test), covariance_matrix=cov)\\\n",
    "                      .sample(sample_shape=(n_prior_samples,))\n",
    "        plt.plot(Xtest.numpy(), samples.numpy().T, lw=2, alpha=0.4)\n",
    "\n",
    "    plt.xlim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data\n",
    "\n",
    "The data consist of $20$ points sampled from\n",
    "$$ y = 0.5\\sin(3x) + \\epsilon, \\quad \\epsilon \\sim \\mathcal{N}(0, 0.2).$$\n",
    "\n",
    "with $x$ sampled uniformly from the interval $[0, 5]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 20\n",
    "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n",
    "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n",
    "\n",
    "plot(plot_observed_data=True)  # let's plot the observed data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define model\n",
    "\n",
    "First we define a RBF kernel, specifying the values of the two hyperparameters `variance` and `lengthscale`. Then we construct a `GPRegression` object. Here we feed in another hyperparameter, `noise`, that corresponds to $\\epsilon$ above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n",
    "                        lengthscale=torch.tensor(10.))\n",
    "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see what samples from this GP function prior look like. Note that this is _before_ we've conditioned on the data. The shape these functions take&mdash;their smoothness, their vertical scale, etc.&mdash;is controlled by the GP kernel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, kernel=kernel, n_prior_samples=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example, if we make `variance` and `noise` smaller we will see function samples with smaller vertical amplitude:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kernel2 = gp.kernels.RBF(input_dim=1, variance=torch.tensor(0.1),\n",
    "                         lengthscale=torch.tensor(10.))\n",
    "gpr2 = gp.models.GPRegression(X, y, kernel2, noise=torch.tensor(0.1))\n",
    "plot(model=gpr2, kernel=kernel2, n_prior_samples=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inference\n",
    "\n",
    "In the above we set the kernel hyperparameters by hand. If we want to learn the hyperparameters from the data, we need to do inference. In the simplest (conjugate) case we do gradient ascent on the log marginal likelihood. In `pyro.contrib.gp`, we can use any [PyTorch optimizer](https://pytorch.org/docs/stable/optim.html) to optimize parameters of a model. In addition, we need a loss function which takes inputs are the pair model and guide and returns an ELBO loss (see [SVI Part I](svi_part_i.ipynb) tutorial)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps): \n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(gpr.model, gpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+VsgVi8iZpKCPIHen/sARarY38/a2A7yz/QCb97ZzLHg7p47LY0Fl0fHbnPJCsjPSwy1aREbMqYJ+SEfdSPjMjMqSPCpL8vj98ysAONTZzXu7Wlmzs4U1O1p4s66Zx9fEDnTKSk/jnPLC2FZ/cJs6Lk87eUVSgLboI66h9QhrdrSwZmcL7+5s4b36Vo4EFzIvzssMQr84NuRTUcTYvMyQKxaRodAWfQqbNDaXSefmcu25kwDo7jnG5r0HY1v9Ow+wZmcLL25uovfzfnppPudVjOW8iiLmVxYxt7yQnEwN+YiMZtqiF9o7jvJefSvv7mxh7c4W1tW3sqetA4CMNGPWhALmV45lfkUR51UUMWvCGDLSdYZrkWSinbFy2va2dRwP/bX1sQ+Ato7YeXlyMtOYV9671R/7ANB4v0i4FPQybO7O9v2Hg9BvZV19C+t3t9JxNHaO/bG5mZxX0bvVP5b5lUVMKMwJuWqR1KExehk2M6OqNJ+q0nyuXxA7CWnveP+6+hbW1reydmcL33tpKz3BMZ4TCrOZH4z1n1cxlvMma2evSBgU9DJkGelpzCkvZE55ITcuirV1HO1hw+62YNgnNvTz7G+OnwOPaaX5zCkvZF75WOaWFzK3vFAncBMZYQp6SaiczHQumFrMBVM/vERB65HYzt619bHwX7uzhSfXNRyfP7Ewh3mTC5nTJ/wnF+VqzF8kQRT0MuLG5maydGbspGy9Wg8fZUNDKxt2tbFhdysbdrfx/PuNx3/ZW5SXGYR+LPzPmVTItNJ8MnW0j8hpU9BLKMbmZXLJjFIumfFh+B/p6mHjnjY27G7jN7tbWb+rjQd+vY2u4KLqmenG9NIxzJpYwKzxsfuzJxRQWZKnk7qJnIKCXpJGblY6C6cUs3DKh8M+R3uOsaXxIJv2tLNpbzub97Tz7o4D/NfaD69hk5OZxlnjxzBrQgGzJhQwo2wM00rzmVKSR1aGvgGIKOglqWWmp3HOpNjQTV+HOrupbTzI5t4PgL3t/HrLPh59Z9fxZdIMKorzmFaaf/xWVZrP9NJ8yoty9S1AUoaCXkal/OyM4ydn66v18FHq9h3kg32H2LbvEHX7DvHBvkPUbGvmUFfP8eUy0ozyolwmF+UyuTiXiuLYdEVxHhXFuUwcm6P9ARIZCnqJlLF5mZw/pZjz+wz/QOwHX03tnXwQBP/25sPsOnCE+gOHeaW26fi5/XulGUwozGHi2BzGF2QzoTB2P77wxMfFeVmk6ZuBJDkFvaQEM4uFdGEOF00f91vzO7t7aGjpYFdLLPxjHwJHaGzvpK7pEG/UNR+/wldfmelG2ZhsSsZkUZyXRUl+n/v8LErysijOz6QkmB6bl6nrAsgZp6AXAbIz0o//8rc/HUd7aGrvZG9bB43tnTS2dbC3vZPGtk4OHO6i+VAXO5oP03yoi/bgvEDxXyuNgpxMCnMzYvc5GRTmZFKQk0HBCdOZFObGpsdkn7iMTionp0NBLzJIOZnpxy/2MpCu7mO0HOniwKGj7D/UyYFDR2k+3EXLoS7aO7tp7zhK25Fu2jqO0t7Rza6WI7R3xNp7zx90KrmZ6cdDvyD4ACjMyWRM9oltBTkZlORnsaCySL9ATmEDBr2Z3Q98FGh093lB29eB3wO6gK3Aze7eEmfdbUA70AN093fCHZGoycpIY3xBDuMLcoCC01q3q/sY7cEHQO8HQfvx++4TH3d+2L77+IdF9/GLy/S14tyJfOX6eQr8FDSYLfoHgG8DP+jTtgr4vLt3m9k/AZ8HPtfP+le6+75hVSmSQrIy0hg3JntYgXy05xgHO7o52NnN3rYOnn+/kfte/YDNe9/g8TuWkJ+tL/OpZMCBPnd/GWg+qe1Zd+8dhHwDqBiB2kRkiDLT0yjOz6KyJI/qqhL+evls7v/jC9nadJCvPv1+2OXJGZaIPTq3AE/3M8+BZ81stZndloDXEpEhWnJWKZ9ePJX/fGsHH+w7FHY5cgYNK+jN7AtAN/CjfhZZ4u4LgWuBO8zsslM8121mVmNmNU1NTcMpS0T6cedVM8lKT+NfV20OuxQ5g4Yc9Ga2kthO2k95P5epcvfdwX0j8BiwqL/nc/d73b3a3avLysqGWpaInEJZQTa3LK3iibW7WVf/W8dPSEQNKejNbDmxna/XufvhfpbJN7OC3mlgGbB+qIWKSGLcfvkMxuVn8ZVf/Ob41cAk2gYMejN7CHgdONvM6s3sVmJH4RQAq8xsjZndEyxbbmZPBatOAF41s7XAW8CT7v7MiPRCRAatICeTz107m7e3HeD/PruJZLxutCTWgMdYuftNcZrv62fZ3cCKYLoOmD+s6kRkRHz8ggre3XGA7724leaDXfzN781hjA65jCy9syIpyMz4+xvOpTgvi++9tJVXt+zjHz92LpfN0v6xKNIJM0RSVFqa8dfLZ/PT2y8hJzONT9//Fp/76TraOn775G0yuinoRVLcBVOLefJ/Xsrtl8/gkdU7+d1vvsLmve1hlyUJpKAXEXIy07n72tk8cvsldBw9xse++xqvbdWZS6JCQS8ix10wtZgn7lxCeVEOtzzwNm/U7Q+7JEkABb2InGDS2Fx+9JnFVBTn8Sc/qKGu6WDYJckwKehF5LeUFWTzwM0Xkpmexp/8oIZ27aAd1RT0IhJXRXEe3/nDhXyw7xD/8NTGsMuRYVDQi0i/Lp4xjj+5dDoPvbWTV2u1c3a0UtCLyCn9xdWzmFaazxefWE93z8CXOZTko6AXkVPKyUzn89fOZmvTIX789s6wy5EhUNCLyICunjOBRVUlfONXtXTEuR6tJDcFvYgMyMz4y2Wz2Hewk5+urg+7HDlNCnoRGZSLppUwv7KIf3+lTuexH2UU9CIyKGbGn142ne37D/OrjXvDLkdOg4JeRAZt2ZwJjC/I5ifaKTuqKOhFZNAy0tP4eHUFL25qZE9rR9jlyCAp6EXktHyiupJjDj9dra360UJBLyKnZeq4fBZNK+HxNbvDLkUGSUEvIqfto+dNorbxILW6QMmooKAXkdO2fN5EzODJ9xrCLkUGYVBBb2b3m1mjma3v01ZiZqvMrDa4L+5n3ZXBMrVmtjJRhYtIeMYX5HBhVQlPrlPQjwaD3aJ/AFh+UtvdwHPuPhN4Lnh8AjMrAb4IXAQsAr7Y3weCiIwuv3tubPhmqy5MkvQGFfTu/jLQfFLz9cCDwfSDwA1xVr0GWOXuze5+AFjFb39giMgodNXs8QC88H5jyJXIQIYzRj/B3RsAgvvxcZaZDPQ9Bqs+aPstZnabmdWYWU1TU9MwyhKRM6GyJI+Z48fwwiYFfbIb6Z2xFqct7kky3P1ed6929+qysrIRLktEEuGq2eN564NmDnZ2h12KnMJwgn6vmU0CCO7jfazXA5V9HlcAOvhWJCKuOHs8R3tcV59KcsMJ+ieA3qNoVgKPx1nml8AyMysOdsIuC9pEJAKqq4opyM7gRQ3fJLXBHl75EPA6cLaZ1ZvZrcBXgavNrBa4OniMmVWb2fcB3L0Z+ArwdnD7ctAmIhGQmZ7G0pmlvLipCXedujhZZQxmIXe/qZ9ZH4mzbA3wmT6P7wfuH1J1IpL0ls4s5en1e6jbd4gZZWPCLkfi0C9jRWRYlp5VCsBrWzROn6wU9CIyLFNK8phclMurCvqkpaAXkWExM5aeVcrrW/frEoNJSkEvIsO2ZGYpbR3drN/VGnYpEoeCXkSG7ZIZ4wA0fJOkFPQiMmylY7KZPbGAXyvok5KCXkQSYulZpdRsP0DH0Z6wS5GTKOhFJCGWnFVKV/cxarYdCLsUOYmCXkQSYtG0EjLSTOP0SUhBLyIJkZ+dwcIpxby6RacZTzYKehFJmEtnlrJ+Vxv7DnaGXYr0oaAXkYS5bFbsWhI6bXFyUdCLSMLMmzyW4rxMXq7V8E0yUdCLSMKkpxlLZ5bxSu0+nbY4iSjoRSShLptZSlN7Jxsb2sMuRQIKehFJqN5xeg3fJA8FvYgk1ITCHM6eUMDLmxX0yUJBLyIJd9msUmq2HeBQZ3fYpQgKehEZAb9zzgS6eo7x4iZt1ScDBb2IJFx1VQnj8rN4ZsOesEsRhhH0Zna2ma3pc2szs8+etMwVZtbaZ5m/HX7JIpLs0tOMZXMn8PzGvTqbZRIYctC7+yZ3X+DuC4ALgMPAY3EWfaV3OXf/8lBfT0RGl2vmTuRQV4/OUZ8EEjV08xFgq7tvT9Dzicgod8mMUgpyMnjyvYawS0l5iQr6G4GH+pl3sZmtNbOnzWxuf09gZreZWY2Z1TQ1aQeOyGiXlZHG7547iaff28NBHX0TqmEHvZllAdcBj8SZ/Q4w1d3nA98Cft7f87j7ve5e7e7VZWVlwy1LRJLAx6srOXK0h6fWaas+TInYor8WeMfd9548w93b3P1gMP0UkGlmpQl4TREZBRZOKWJGWT4P1+wMu5SUloigv4l+hm3MbKKZWTC9KHi9/Ql4TREZBcyMT1RXUrP9AO/vaQu7nJQ1rKA3szzgauDRPm23m9ntwcM/ANab2Vrgm8CNrlPaiaSUT15YSV5WOve+VBd2KSlrWEHv7ofdfZy7t/Zpu8fd7wmmv+3uc919vrsvdvfXhluwiIwuRXlZ3LRoCk+s3c2uliNhl5OS9MtYERlxty6dhhn8v19tDruUlKSgF5ERV16Uyx9fUsUjq+tZv6t14BUkoRT0InJG3HnVTIrzsvjCz9dztOdY2OWkFAW9iJwRY3Mz+fL1c1m7s4VvPlcbdjkpRUEvImfMR88r5w8uqOBbz2/h8TW7wi4nZWSEXYCIpJb/c8M8djQf5q6H19Ld4/y3CyrCLinytEUvImdUTmY6319ZzaJpJdz1yFr+9vH1OhfOCFPQi8gZV5iTyQM3L+LmJVX88I3tXP61F/j287Xs1nH2I8KS8Yeq1dXVXlNTE3YZInIGvLvjAN/4VS0vBRcTnzOpkAVTijhnUiGTi3KYNDaXcflZ5GVnkJeZTlqahVxxcjKz1e5eHXeegl5EkkFd00GeXr+H17buY119K+0d8YdzcjPTycpIIz3NSDMjzTg+HbuPnWOnPwN+TAywwEDrD+e1i/OyePj2iwdYqt/X7TfotTNWRJLC9LIx3HHlWdxx5Vm4O3vaOmho7aChpYOWI10c7uzhUFc3h7t66Oo+Rs8xp8edY8f8hOljp9h2HWizdqAN3wE3i0/52gNvVBfmZA64zFAo6EUk6ZgZk8bmMmlsLkwJu5rRTztjRUQiTkEvIhJxCnoRkYhT0IuIRJyCXkQk4hT0IiIRp6AXEYk4Bb2ISMQl5SkQzKwJ2D7E1UuBfQksZzRQn6Mv1foL6vPpmuruZfFmJGXQD4eZ1fR3voeoUp+jL9X6C+pzImnoRkQk4hT0IiIRF8WgvzfsAkKgPkdfqvUX1OeEidwYvYiInCiKW/QiItKHgl5EJOIiE/RmttzMNpnZFjO7O+x6EsnMtpnZe2a2xsxqgrYSM1tlZrXBfXHQbmb2zeDfYZ2ZLQy3+sExs/vNrNHM1vdpO+0+mtnKYPlaM1sZRl8Gq58+f8nMdgXv9RozW9Fn3ueDPm8ys2v6tI+av30zqzSzF8xso5ltMLM/D9oj+V6for9n9n1291F/A9KBrcB0IAtYC8wJu64E9m8bUHpS29eAu4Ppu4F/CqZXAE8TuzzlYuDNsOsfZB8vAxYC64faR6AEqAvui4Pp4rD7dpp9/hLwV3GWnRP8XWcD04K/9/TR9rcPTAIWBtMFwOagb5F8r0/R3zP6Pkdli34RsMXd69y9C/gxcH3INY2064EHg+kHgRv6tP/AY94AisxsUhgFng53fxloPqn5dPt4DbDK3Zvd/QCwClg+8tUPTT997s/1wI/dvdPdPwC2EPu7H1V/++7e4O7vBNPtwEZgMhF9r0/R3/6MyPsclaCfDOzs87ieU/9jjjYOPGtmq83stqBtgrs3QOyPCRgftEfp3+J0+xiVvt8ZDFPc3zuEQQT7bGZVwPnAm6TAe31Sf+EMvs9RCXqL0xal40aXuPtC4FrgDjO77BTLRv3fAvrvYxT6/j1gBrAAaAD+OWiPVJ/NbAzwM+Cz7t52qkXjtI26fsfp7xl9n6MS9PVAZZ/HFcDukGpJOHffHdw3Ao8R+xq3t3dIJp6VlgQAAAFUSURBVLhvDBaP0r/F6fZx1Pfd3fe6e4+7HwP+ndh7DRHqs5llEgu9H7n7o0FzZN/reP090+9zVIL+bWCmmU0zsyzgRuCJkGtKCDPLN7OC3mlgGbCeWP96jzRYCTweTD8BfDo4WmEx0Nr7lXgUOt0+/hJYZmbFwVfhZUHbqHHS/pTfJ/ZeQ6zPN5pZtplNA2YCbzHK/vbNzID7gI3u/i99ZkXyve6vv2f8fQ57r3QC926vILZHeyvwhbDrSWC/phPbw74W2NDbN2Ac8BxQG9yXBO0GfCf4d3gPqA67D4Ps50PEvsIeJbb1cutQ+gjcQmwH1hbg5rD7NYQ+/zDo07rgP/KkPst/IejzJuDaPu2j5m8fWEpsyGEdsCa4rYjqe32K/p7R91mnQBARibioDN2IiEg/FPQiIhGnoBcRiTgFvYhIxCnoRUQiTkEvIhJxCnoRkYj7/4EpoiEFixYOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's plot the loss curve after 2500 steps of training\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see if we're learned anything reasonable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here the thick red curve is the mean prediction and the blue band represents the 2-sigma uncertainty around the mean. It seems we learned reasonable kernel hyperparameters, as both the mean and uncertainty give a reasonable fit to the data. (Note that learning could have easily gone wrong if we e.g. chose too large of a learning rate or chose bad initital hyperparameters.)\n",
    "\n",
    "Note that the kernel is only well-defined if `variance` and `lengthscale` are positive. Under the hood Pyro is using PyTorch constraints (see [docs](http://pytorch.org/docs/master/distributions.html#module-torch.distributions.constraints)) to ensure that hyperparameters are constrained to the appropriate domains. Let's see the constrained values we've learned."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.20291335880756378"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.kernel.variance.item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5022152662277222"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.kernel.lengthscale.item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04272938147187233"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gpr.noise.item()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The period of the sinusoid that generated the data is $T = 2\\pi/3 \\approx 2.09$ so learning a lengthscale that's approximiately equal to a quarter period makes sense."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit the model using MAP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to define priors for the hyperparameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define the same model as before.\n",
    "pyro.clear_param_store()\n",
    "kernel = gp.kernels.RBF(input_dim=1, variance=torch.tensor(5.),\n",
    "                        lengthscale=torch.tensor(10.))\n",
    "gpr = gp.models.GPRegression(X, y, kernel, noise=torch.tensor(1.))\n",
    "\n",
    "# note that our priors have support on the positive reals\n",
    "gpr.kernel.lengthscale = pyro.nn.PyroSample(dist.LogNormal(0.0, 1.0))\n",
    "gpr.kernel.variance = pyro.nn.PyroSample(dist.LogNormal(0.0, 1.0))\n",
    "\n",
    "optimizer = torch.optim.Adam(gpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps):\n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(gpr.model, gpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0ZIrJZTlZ27MtxJZSaY2Kxl5WtwQo9DhMe1CI227FZlH5bF034XiKqaPy5Dkqhp1ESuPTmk4cVovhV37EwJOwLEzPYbVQluNg4QY/saTGwaPyZN6ryGqRRIo5NV10BOOU57pMv0pls6iU5TipaOwlkdL5yth8eY6KYUPXdZY29BCIJSmTlsGsJGFZZASrqlKe42RlU4BkWucweTMWWaq7L85HaztJ61pG9T1aVIXyXBdrWoNous7h4wrkOSqGhbquMFVtoYw970Ds2vAZsyAynqoqlOU6WdsWZH5tN2lte1snhchcTf4I/1zVhlVVKPQ4jC5nj6mKQnmuk6q2EEvq/WjyHBVZLhBN8nltN0WyOT+rSVgWpjP72cepWDB3q9+rWDCX2c8+3v9mnONkXWcf89Z3kUprBlUpxMCqaQ/xQWUH+S4bXmfmXvRTlf4PtWtagyxr9KPrEphFdkqmNebWdGG3qNKnnOUkLAvT2W/KNO6ZcdnmwFyxYC73zLiM/aZMA/qnj5TnOKnrikhgFhlP13VWNQeYt76bEp9j41SdzLbpQ+2q5iCVrUGjyxFiUKxo6qUnktjqHAaRnTJ3+UJkrWnTj+aWmbO4Z8ZlnHL2+bwz+wVumTmLadOP3nwfRVEoy3FQ3x1FUbr56r5FcpKYyDi6rlPR2MuKpgBlOc6s+hlWVYXSHAcL6/x47FYZ/SiySktvhJXNQUbIfPFhQVaWhSlNm340p5x9Pi8/9TCnnH3+VkF5k02Bua4rzPzabumPFBlF13WW1PtZ0dRLeZYF5U2sqkqx186cdZ109cWNLkeIARFNpJlb002h2y6bWIcJCcvClCoWzOWd2S/wo8uv5Z3ZL3yhh3mT/sDsZH1nH4vqeiQwi4ywKSivaQn2j4bL4jdch9WCz2Hjo7Ud9MVTRpcjxJei6zoLNnSjoeOyZ37LlNg9EpaF6WzqUb5l5iwuuPrGzS0ZuwrMVW0h2VAkTE/XdZY19B82UpbrHBY76D2O/o6/OdWdJGWPgchg6zvD1HWHKZQ+5WFFwrIwnapVFVv1KG/qYa5aVbHDP7NpB/6q5iArmwNDVaoQe2xlc4CVzQHKc8x/2MhAynfb6eqLs6yh1+hShNgrgWiShRu6KfU55ZTKYUY2+AnTOfviq77we9OmH73dvuUtqRtXmJc19OKyWZhY6husEoXYK2tbgyxr6KUsx5nVrRc7UprjpLI1QLHXzj7FXqPLEWK3pTWdz9d3YbOo2CyyzjjcyHdcZBWLqlDiczBvfTeNPRGjyxFis7quMPM39FDqc2TlZr7doSoKxV4n82q7CUSSRpcjxG6ragvSEYqTL+0Xw5KEZZF1bBaVIq+dT6o76AjFjC5HCNqDMT6t7qTE68A6zFel7FYVp9XCnHXSvywygz+cYEm9nxJv5p2qKQbG8H7VFlnLYbWQ47TxQWWHrGAJQ/VGEnxQ2U6+247dKi+5ALkuG/5wghVN0r8szC2V1vhsfRduu3XYf9AdzuQ7L7KW227FYVH5oKqdSEJGVomhF0mk+HBtBy6bRcZMbaPU52Rlc5C2gFz9EeZV1R6iJ5wg12UzuhRhIAnLIqvluGwkUxqfVHWSSMklXzF0kmmNTzeOSvM55Y12W6qqUOC2Mbemk1gybXQ5QnyBP5xgab2fEp+0Xwx3EpZF1iv0OOiOJPoHycuhJWII6LrOog09dPclKPTIG+2OuO1WkprG0nq/0aUIsZW0pvN5bXd/+4UqUWm4k58AMSyUeh3UdoZZ0Sw9kmLwVbYGqekIyYrUbijyOFjX2SfTa4SpVLcH6e6LS/uFACQsi2Fi0yl/yxt72dDZZ3Q5Ios1+yMsqvNTmiMHF+wORVEocNuZX9st7RjCFALRJEvqeymW6RdiIwnLYtiwqP0zXueu66KrL250OSILBWNJPq3potBjl0u3e8Bps5DSNJY1SDuGMJam6Szc0I3dosr0C7GZ/CSIYcVuVclx2vhobQfhuEzIEAMnkerf0GdTFZw2mXyxpwo9Dmo6QjIdQxiqrjtMS2+UAo8cPiL+R8KyGHY8jv5T3jdNKhDiy9J1nSX1PfRGk+TJCV97RVUU8lx25tV2yeQaYYhIIsXCuh6KpP1CbEPCshiW8t12esIJFtf1oOsyIUN8Oes7+6hu76NU3mS/FLfdSiSeorI1YHQpYhiqaOgFXcdhlStDYmsSlsWwVexzUN3eR3V7yOhSRAbrCSeYX9tNic8hG/oGQLHXyYqmAL2RhNGliGGkLRBjXWeIAhn1KLZDwrIYtlRFodTnYMGGHjqC0icp9lw8lebT6k48dis22Qw0ICyqgstmYeGGHpmLLoZEMq0xv7abXKcdVT7wiu2QV3cxrFktKnkuGx9XdcqGP7FHdF1ncZ2fSCIlJ/QNsDy3ndZAlPrusNGliGGgqi1EKJ7avJ9FiG1JWBbDnttuBXTmrusiJRv+xG6q7QyzrqNPZrEOkiKPg0V1fpm9LAZVMJakorGXYq9szBU7JmFZCKDA46AjGKeiUU74E7sWiCSZv6GbYq/0KQ8Wh81CUtNY3SKb/cTg0HWdJRv8/TOVZS662An56RBio9IcB6tbgtR1yaVfsWPJtMacdZ04rRbsVnkJHUzFHgdrWoKy2U8MiubeKA3+CPluaaMSOyev9EJspCoKRV4789Z3EYgkjS5HmNTKpgD+SJJcl7zBDjZ14wEvMuJRDLRkWmPhhh4K3Ha5OiR2ScKyEFtwWC04rBbm1HTKwQjiC9oCMVa2BGSe8hDKd9tp7o3R5I8aXYrIIlVtISKJNC67zFQWuyZhWYht5Lps9MaSLKmX1SzxP7Fkmrk1neS7bKiqrEQNpXy3jUX1PXLiphgQoViS5U29FMmmPrGbJCwLsR0l3v4DSzZI/7KgfyPQoroekpq2cXqKGEpuu5VILM26DjlASHx5FQ29WFVFNvWJ3SY/KUJsh6ooFHsdfF7bLZuLBPXdEWo7wxTJ6V6GKfTaWdbQSyQh89DF3msPxtjQ3UeBW1aVxe6TsCzEDtitKk6rhbk1XXL5dxjri6f4vLaLIq/5NgLNfvZxKhbM3er3KhbMZfazjxtU0eCxWVQUBVY1B40uRWSotKazcEMPOQ7zPZeFuUlYFmIncl02AtEkyxpk/vJwpGk6C2q7sSgKDqv5NgLtN2Ua98y4bHNgrlgwl3tmXMZ+U6YZXNngKHQ7qGoL4Q/L1R6x5+q6wvRGEnid0kol9oyEZSF2odjnoLI1SGOP9C8PN+s7+2j2RykwafvFtOlHc8vMWdwz4zL+9Nj93DPjMm6ZOYtp0482urRB0T9KTqWioVc234o9EkumWVzfQ4FH2i/EnpOwLMQuqIpCkcfO3HXdhGIyf3m4CESTLKzrodhnzqC8ybTpR3PK2efz8lMPc8rZ52dtUN4kz2WjsTdCezBudCkig6xtC5LSdFNeIRLmJ2FZiN3gsFmwqgrz1neT1mRFK9tpms782m7sFhWbxVwvk9v2KVcsmMs/XnqGadOP5p3ZL3yhhznbKIpCjsPG4roeNHkuit0QjCVZ1RSUDbpir5nrXUAIE8t32+kIxljdEjC6FDHIqttDtAdi5Jtwx/yWfcoVC+Zyx88vBBR+9NNrNrdkZHtg9jqt+CMJ6rulNUrs2vKGXmxWBYvMRxd7SbrchdgDJT4nFQ29lOU6KfE5jS5HDIJAJMniOj8lJm2/2LJPefykAwCFO37/3Ob2i1tmzqJqVUXWt2Pku+0safAzqsBtutV/YR4doRi1XWFG5Mrrtdh78gojxB6wqAo5Lhtza7qIJdNGlyMGWFrT+by2C6dNxWriALapT3nZgrmc/uOLtwrG06YfzdkXX2VgdUPDabMQTWpyUInYIU3TWVznx+ewyqg48aWY991ACJPyOqzEkxpL6/2yIz/LVLcH6QwlyDNh+8WWKhbM5Z3ZL/Cjy68dFn3KO1LksbOsISAfXMV2NfkjdIXi5LhsRpciMpyEZSH2QpHXTk1HiPruiNGliAESiCRZUtdLsdf8QXnTiLgLrr5x2PQpb09/+4XOmhY5qERsLZXWWFzvN+W+A5F5BqRnWVGU7wCPAhbgGV3Xf7vN7RcADwLNG3/rcV3XnxmIxxZDQ41Fcba1YO/qwN7VgSUWQ0mnQddJeb2kcvJIFBQRGTMOze0xutxBpygKRV4Hn9d2Uei143PKykUm0zKk/QKgalXFVrOUN/Uw726f8uxnH2e/KdO2um/FgrlUrarIyPaNQo+DNS1BJpZ65XkoNqvtDBOOpyjPdRldisgCXzosK4piAZ4Avg00AYsURXlL1/U129x1tq7rmfdKPAwpiTg5KyvIX7qAnBVL8a6rwtVUj6Lt3pHPsbIRhCZPoffQI+g9dDrBgw5Bt2bfXlKH1YJVTTN/fTfH71+KKjutM1Z1e4iOYJwReeZ/Y91eoJ02/ejd3tC3aZrGpsC95Up1JrKoClaLwqrmAEftW2R0OcIEYsk0Sxv8FMqoODFABiLBHAGs03W9FkBRlFeA04Btw7IwMVt3J8UfvU/xR/+mYP4cLLHoVrdrFgvR0WNJFJWSKCwm7XahW6zoioI1FMQWDODoaMPVWI+zrQVnWwvFH78PQCK/gM7jvkP7CafSc9TXwZI9Q+Hz3XZaeqOsbQtywIhco8sReyEQTbKkwW/6w0cGypbTNE45+3zemf1Cxp/6V+CxU9Pex35lOXJCm6CqLUha17FbzX2VSGSOgQjLI4HGLX7dBEzfzv3OUBTl60A1cK2u643b3kFRlMuAywDKR44egNLEziiJBEWf/pcRb7xC4ZwPUNP/2yTTN3Ey/kOnEzj0CEKTDiAybjy6fddhQkmlcDY3kLtiKXlLF1Iwfw7uhg2MfP0vjHz9L0RHjqbprJ/Qcsa5JAuyYxWoxOdgSb2fslyXvFFnGE3TWWjSw0e+NF3H1tOFs7UZSzQCioKuqCSKSjjkkMM3n/r3o8uvzeigDP2nbLrsFpY39PLN/UuMLkcYqC+eYmVzkCKT7z0QmWUgwvL2rj1vOyLgbeCvuq7HFUW5HHgBOO4Lf0jXZwGzAKYcfIiMGRgkjrYWRr/0NCP+MRu7vwfoXznu+vrxdBx3El3HfptEcelefW3daiU6djzRseNpO/VM0HU869ZS8p93KX/zVdxNDUx85F7G//F3NJ57EfUXXpHxodlqUfHYrXy2rovvTCnLvtCVxdZ39tEaiGVE+8WuqNEIhfM+IW/JfPKWLsRbXYklHtvufXVFYZKicOWE/fjbC3+kbux4xn3vrCGueGBtOga7IxijJEdm6g5Xq5p7saoKVlVeh8XAUb7s6CtFUY4C7tB1/cSNv74JQNf1+3ZwfwvQo+v6Tq9ZTzn4EP3Xs/4hBz8MIE9NJWOfe5Ky995ATaWA/hXkltPPoe2UM0gUFQ9uAZpG4WcfMfrlZyma8yEAaZeLuouupP6iK9GcmR1YWgNRDhiRw1fGFhhditgNoViSt5e3kO+2Z+4HHF2nYN4nlL/9N4r/+x7W6NbTWZI5ecTKR5Ly+UAHJZ1CaazH0935hZWS1n0mEDz3AlpPOZNUbt7Q/R0GUCiWxGmz8J0pZTJXdxjqjSR4e3krpTkOVPn+iz104hGT69N9/nHbu20gwrKV/taK4+mfdrEIOE/X9dVb3Kdc1/XWjf//feBGXdeP3NnXlbA8cLxrV7PvY/dv7iHWVZX2E0+l4Sc/JXjQIWDAi4pvVQXjn5xJ8Sf/ASA6YhTVN95F5/EnGVLPQNA0ndZgjO9MKaNUVrZMTdd1PlrbQVdfnIIM3ASkJJOU/utNxj73BL7qys2/HzjoELqP/ia9h04ncNAhpH05X/izs599nMn7H8RXS0rJW7KA/EXzKPjw39g3rkKn3B6azj6fhvN/utdXmIzUEohy3OQSRuW7jS5FDLGPqjroDMalHU7slUENywCKonwXeIT+0XHP6bp+r6IodwGLdV1/S1GU+4DvASmgB7hC1/W1O/uaEpa/PFdDHeMff4Cy995A0XXSThctPziX+vN/SmzUWKPLAyBv8efsd+/N+Kr794O2n3AKa2/9bca2ZkQSKZJpnZOnluO0Zc9GxmxT29nHnJpORuZlWKDSdQo//S+THrgDT916AOLFpTSdfT5tJ/+A6EWNyVgAACAASURBVJhxe/Vl1WiE4o/fZ8Trf6Hw808BSNsdNFxwORsu/XlGjYOMJFLowClTR2CRCTXDRkcoxr9WtVGe45SrCmKvDHpYHgwSlveerbeH8U88xMhXX0RNpdBsdprOuYANl15NsnCQWy32gpJKMXL2C0x45DdYI2HihUVU3jGTruNONLq0vdIRirFPkUfGWJlUOJ7ireUt5DitOKyZ84HG1VjPfvf8iqK5HwEQGbMPdZdeTespZ+zW5tvd5VtVwT5P/56S/74H9I+CrL7hTjpOPHXAHmOwtQaifG1CEeOLvUaXIoaAruv8e3Ub4Xia3CE6rS/b5pULCcvDRzrNyNf+zL6/vx97wI+uqrR+7yxqr7yO2AjzTxdxNjdwwM3XULBoHgD1F1zOumtuRrdl1kEDmq7TGohx3OQSRhdk2MplltN1nU+qO2kLxCjyZkj7ha4z8tUXmfjgnVijEZK+HDZcMYPGcy9Etw/e5ebcZYvY7zc3k7NmBQCtJ/+AqlvuI5Vj/hGJsWSaWCrNadNGZm4/uthtLb1R/rOmnZFDuFF3y/nk284rH8jpMtZgAN/aVXhrKnG0t+HoaMMa7EVJpVHSKTSHk1RuLsncAqKjxhAZuw/hfSYQGzkmY1sajSJheRjIXbKAyff+Gl9Vf6t4z/SjqbrpbsIT9x/wxxrUT9SaxpgXZzHh4XtQUyl6px3Oyt/NIl5a/iWrHlqxZJpwIs2pB5fjtmffgSyZqq4rzCfVnYzIzYxLtbaeLg686erNq8ltJ51G1a/vHbo2pXSaUa++yMSZd2GJRomVjWTVA0/Q+5WdbjkxhbZAjMPG5TO5/It92yJ7aJrOuytbSWs6XsfQvtZuCsgDOa9cjcfIX/gZhXM+pPCzjze3W+2pREEhgYMOpfewI+k65jjCEyZLeN4FCctZzBIKMnHm3Yx67c8ARMtHUnPDnXR8++RBe2IMxSfq3GWLOGjGZTjbW4mVlLH8iRcJHTB1QL72UOkKxxmR6+SYicUZEcyyXSSR4u3lLXjtVhwZ0E/uW1XBwb+4GGdbM4ncfKpuvY/2k043pBZ33XoO/NVV5K5chma1Un3jXTSde6Gp33yTaY1ANMnph4yU/QNZrL47zCdVnYaNf/zTY/dvnld+wdU37t0X0XV8q5cz4u9/pey9N7CFgptvSjuc9E2cTGjyFGIjRhEvKSWZW4Bus6KrFizxGNZAL3Z/N67Getz1tXir12weC7tJrGwEHd86mbaTv2/Yxn6zk7CcwXa2invVuH2ZfPevcHS2o1lt1F18FXWXXo3mGvxL/4PxiXpbtp4upl5zCflL5pN2uVj1wB/oPO47A/oYg0nXdVoCMb4+sYh9pHfSULqu89n6bpp6whR5zf+aUv6P2Uy+8wYsiTiBqYey4uFniJeNMLQmJZlk30d/w7jn/wBA8xnnsfaW+wa0X3qgtYViTB2Zy9RRmTkKT+xcKq3x1vIWbKqKyz70H4i+9PugrlM45wP2+eOj5FUs2vzboclT6Dz223QfczzBKdPQrXu4Yq7ruJoayF2+mIJ5n1A490Mc3V2bb46MHkfzWT+m5YzzSObJqNNNJCxnsO2t4s669hLemTCZSUvmA9B78FeovGtm/2WWITQgn6h3QUnE2f/26xjx1mvoisLaW39L89nnD8pjDYZ4Kk0wluSUqSPwOTOr9zqbNPZE+HBth/nbL3Sd8U8+xPgnZwLQdPZPqPrV3aYKpGXvvM7+t83AEo/RfdTXWfHoc6Q95vwwmNI0esIJTps2Es8QX6IXg6+mPcT82m7Kc4d+VfnLXmHNWzSPSQ/eQc7q/j0ByZw8Wk/7Ic0/OJfwpAFun9Q0clZVUPbePyj915s4OtuB/ok37SedRuN5FxGaMm1gHzMDSVjOcFt+enX+eRaP6+CMhEm53Ky/9tc0nnMhWIb2U/VQrCxvpuvs88dH2Pex+wFYd82vqbvk6oy5jNQT7p/7edzkUlQZZTXkYsk0b1W04LZbTH05XkkmmXz3jYx8/S/oqsram39D8zkXGF3WdvlWL2faFT/G0d1JYMo0Kv7wkmnHPXb2xZhQ7OPwfWQFLZskUhpvLGvC6zBmqs3e7t1xtDQx6aE7Kf332wDEC4tpuOByms4+f2g+dKbTFM35gFGv/Gnz4WAA3Ucew4YrfknvYUcNfg0mJWE5C7z60J0c+/wfOG/jr7uOOY7K2x4gPmLUkNcyVLuAtzXy1ReZfNeNKLpO3UVXsu6Xt2RMYG7pjXLk+EImlfmMLmXYmbeui/qeMMUmbr9QEgkOuv5ySv77Hmmni1UPmr/lyNVQxyGXnY27sZ7wPhNY8tzfSJSUGV3WF2iaTnsoxvemjRyysWJi8K1pCbCk3m/IqvJe0XVGvvYSEx+4HWs0Qtrpou7iq6i/8IohaZ3cHldDHaNm/4mRr72ENdwHgP+wI6m9Ygb+6UdnzPvrQJGwnOG6X3iKrz54F6N1jTAw94LLsVx3u2E/yEbOlyx97x8ceNNVqKkUGy65mvXX/DojntDJtEZ3OMGpU0eQ65Y37KHS5I/wQWUH5blO0x5/qyTiTL32Uoo/fp+kL4eKp/5CYNphRpe1W+ydHRxy2Tn4qtf0B+bnXzflqX894TjluS6OmWS+OfNiz8WSaf6+tJl8ty0jRgPaO9s54NZrN6/kdnzrZKpuvNOQxa7tsQZ6GfPS04x+6RlswQAA3Ud9nZoZt9G3/xSDqxs6EpYzlJKI47vp5xz2rzdR6T/K9rXzLuK6B24f9FVcMyv+4J8cdO0lqOk066+8ng0/m2F0SbulN5LA47BywoFlcrLYEIgl07yzvAWH1WLI5p/doSTiHPyLiyj69AMSufkse2Z2xk19sfX2cOiFZ/YH5vETWfL830kUmSuU6nr/UfTfPag8c+Zrix1a3uhndXOQkhzz54O8JfM56JeX4ejqIJmTx9pbf0v7SaeZcpHHEgoy+i/PMfb5J7GFguiKQtupZ7Du6l+ZJtgPpp2FZfN/JBumPOuqOOLckzniX2+ColJ7xS9Z/Oe3GPe9s7hl5iyqVlUYXaJhOo8/idX3P4Guquz7xIOMfeYxo0vaLXluO119cda2BXd9Z/GlLWvwk0zrpg3KpNNMufHK/qCcX8DS5/6WcUEZIJlXwNJnX6Vv4mQ8tTUccukPsW5cnTILRVFw2ywsa/Bj1gUisXvC8RSrmoMUeAfvQJ4BoeuMfnEWh154Bo6uDnoO/yqfv/kx7d893ZRBGSDty6Hup9cw71/zqf/JT9EtVsrf+htfPflrjH/iQdRY1OgSDSNh2Wx0nVEvP8sRPzwR39pVREaPZclLb1F71Q2bT7KbNv3oYX+cZvtJp7P63kfRFYWJD9/L6BdnGV3Sbin2OVha76e7L250KVmtyR+huj1EoVnfUHWdyffcROn775Dy+lj69Kv0TT7Q6Kr2WrKgiCXPvkZ4nwn4qis5+OrzUeMxo8vaSp7bTmtvjLagueoSe6ayNYiqglU1b3xRUikm33Uj+91/G2o6Td1FV7LsmVdN2dO/Pcm8AmpuvJN5786l7aTTsSTijH9yJkeefiyFn/zH6PIMYd6ftmHI3tnOtMvPY/JvbsYSj9Hy/XNY8PoHGdO/ONTavncWlXc8BMB+999G6btvGFzRrllVFa/Dyrz13STTmtHlZKVYMs3n67spcDtM26c8/rEHGPXqi6QdTiqeeDEr+gKThcUsm/VXYiVl5C+ez5QbroR02uiytpLjtLGkzo+myepyJgrGkqxtC1LoNm8rjRoJM/XnF25+fq/43SzWzbh1z2clm0Bs1FhWPfQUi194g76Jk3E31nPIz/6PqVdfgLO5wejyhpSEZZMo/vBfHPn9b1I09yMSufmsePgZ1tzziGnnl5pFy5k/ovr62wE48OZfkLdonsEV7ZrPaaM3kmBlk7kuVWeLpfV+Uppm2vaL0X9+mvF/fBjNYmHlzFlZNaopNmI0y/74V5K+HEr++y6THrzT6JK24nVa6QknaPRHjC5F7IVVTQFsFtW0IzitgV6+cvFZFH/yHxJ5BSx99jU6Tvye0WV9ab2HHcWC1/5D1Y13kfJ4KfnwXxx16tcZ9/TvUZJJo8sbEhKWDWYJh9n/thkcfPUF2P09dB/1dRa88SEdJ5xidGkZo+H8y2n40cWoyQQH//xC3OurjS5pl0p9TlY2B+iQS8IDqrEnQk1HH0Uec648Ff/nXfb77a0AVN71O7q+eYLBFQ288KT9Wf74C2hWG2P+PIuRr/7Z6JK2UuCxs6iuR67sZBh/OMH6zj7y3eZsrbL19nDoJT8kd8VSIqPGsPjltwkccrjRZQ0Y3Waj8SeXMe/dz2g9+QdY4jEmPPIbjjjnJHxrVhhd3qCTsGygnBVLmX7mtxj5+suk7Q6qfnU3y2a9Qry03OjSMouiUH3jXXQcfxK2YIBDLj8P+8YTisxKVRXyXDbm1HQRS5rrUnWmiiRSzFvfTaHHbspT+ryVq5hyU/9eg5prb6b19LMNrmjw9B52FJV3PAjAfvfeRP6CuQZX9D9Om4VYQmN9R5/RpYg9UNHUi8NqMWVrla2ni0MvOoucNSuIjNmHJS/8g8i4fY0ua1AkiktZ/cCTLH3mVSKjxuBbu4rDzzmJCTPvzuoNgBKWDaCkUuzz5EwO+/GpuBs2EJq0Pwtn/4vG/7sUTLxpwdQsFlbd/wSBqYfiamli2s/+DzVq7kutHoeVeCrNsga/0aVkPF3XWVzXg45uylP67J0dTLvqfCzRKC2n/ZD6YbBBt/X751B34RWoqRRTr7kEZ1O90SVtVui1s7ShVz6oZojOUJyG7gj5JpxRbwkFOfTSc/BVrSa8zwQWv/AG8bIRRpc16HqO+jrz3/iI+p/8FEXTGPfcE0z/wfEZ0Qq5NySZDTFXQx1fOf909n3iQdR0mvoLLmfRK/8c+LPghyHN5abiiReJjB5LzpoV7H/7daDrzH72cSq2WdmqWDCX2c8+blCl/1PkdVDd3kdDd9joUjJaXVeYDV0RCk14iVaNx5j6iwtxtjXTO+2w/hVXE66ODYZ1195C5ze+hS3Yy9RfXmqaCRn9B1norGmRMY5mp+s6FY1+vA6r6a4YqdEI0678Cb61qwiPHd8/YzxDJl4MBM3toebGO1n08jv0TdgPT30th13wAybfeQOWvpDR5Q0oCctDRdcpf+OvTD/jePIqFhMrLWfJs69Rc/0daA7zD1bPFMmCIpY/9idSLjfl7/6dMS88xX5TpnHPjMs2B+ZNx3PvN2WawdWCqigUeezMq+2mL54yupyMFIol+by2myKvCdsvdJ3Jd1xP3vIlxMpGsuLR59Ht5uynHhQWC6vve5zIqDHkrF7BpPtvM7qizQo9Dta0BAnGhscGpUzVHozT2hsz3VHlSjLJQTMuI3/JfGKl5Sx7ZjaJ4hKjyzJE8OCvsOC1/7D+yuvQrDZGvfoiR532DQo3nliYDSQsDwFbbw8HXXsJB95yLdZImPYTT2X+3z/Ef+QxRpeWlcIT92f1ff0HlUyceTfHpVLcMnMW98y4jD89dj/3zLjMVCcgOmwWFGD++i4ZabWHNE1nfm03NouKw2q+9ovRf3mWEW+9RtrlouLxF0x3st1QSOXmsfLhZ0jbHYya/SJlb//N6JIAsKgKNqvC8oZeo0sRO6Bp/e1VOU5zBWV0ncl3/4riT/7bP/Xi6dnERow2uipD6XY7G352HQv+9j6BKdNwtrVwyOXnccDNv8AayPznmITlQVY45wOOPO1YSv/zLimPl9W/+T0rZ84ilZdvdGlZrfPbJ1N7+bUomsZB113OUeWjOOXs83n5qYc55ezzTROUNyn0OGgJxKhql8vCe6KqPUhrb8yUO+RzVixl4gP9o9NW3/toVsxS3luhA6ZSfdM9AOx/x/V4aioNrqhfgdvOhu4wHSFztIeIrTX5I/REEnid5ppRPPa5J/o35jucVPzhJSL7TjK6JNMIT9yfxS+/Q80vbyFtdzDiH7M56rRvUPThv40u7UuRsDxI1EiYyXfdwCGX/whHVwf+rxzJ/L9/QOtpPxw2/YpGq73yejqPPQFbsJdJl/yQD1/5Ez+6/Fremf3CF3qYzaDE62BxnZ+ecMLoUjJCd1+cxXV+Snzma2uw9fYw9dpLUVNJGn58SVbMWv2yms/6MS3fOwtLLMrUay7BEja+T19RFLx2K4vloBLTSaU1Fjf4yXeZ64NwyfvvMPF3/R/8Vt/3GMGphxpckfnoViv1F1/Fgr9/QO+0w3F0tjPt6vM58IafYfN3G13eXpGwPAj6R8J9m1GzX0Sz2qj55S0sef51YqPGGl3a8KKqrLr/CbrLRlDc3MD7B07jgqtv3NySYbbAbLX0n+43p6aTREpmwO5MIqUxd10XXocVq8VkL2OaxoG/ugpnWzOBqYdSM8M8fbqGUhTW3nY/fRMn46lbz6T7bzW6IgByXDY6QzGa5KASU6nrDhOOpUx1uJC3ag0H3nQ10D/+sePEUw2uyNwi+0xg8Yv/oOpXd5N2uih/9+8cedo3KPn320aXtsdM9i6T2ZRkkvGP3c9hPz4VT33t5pFw9RdfBRbzPOGHk7TXx+9POIWk3c6Uzz6i/I1XmDb9aG6ZOYuqVRVGl/cFPqeNUDwl4+R2oaKxl1A8hc9svYzAuKd/T9GcD/tP4pw5C91urpUxI2kuNysfeoq0w8nI1/9C8X/eNbokoL8NaqEcVGIaiZTGsoZeCkzUXmUNBpj6i4uwxIbP+McBYbHQ+H+XMv+Nj/AffhSO7i6m/vJSDrr2EuxdnUZXt9skLA8Qd20Nh//oZMY/9TCKplF34c9YOPtf9E0+0OjShr1jbryL6tvuB2DyPTfhWbeWadOP5myTvtiVeB2sbQtR32X8ZWozauwJU9kapMRrvvaLvEXz2PfxBwBYff/jxEeMMrgi8wlPmMy6GbcAsP/t1+FobzW4oo0HlSQ1qtuza9xVplrXESKeSuMwy8x0TePAm67G3VhHcP+DWHvb/dJOuYeiY8ax5LnXqbz1t6TcHkrff4cjT/sGpe/8HXTzt0BJWP6y0mnGPP8k08/8NjmrVxAdMYolz7/OuutuG14jokyu9fRzNvdLHnTtpagR8wbRTePkPlvfJWOtthGKJZm7rosij910J3lZe/1M+dVVKJrGhst+Qfcxxxtdkmk1nncxXUd/E3vAzwE3/wI041d0izx2Khp6ZYSjwaKJNBWNvRSa6Mj6cU//nuKP3yeZk8eKR55Bc7qMLikzqSrN51zA/Dc/pvur38De28NBN/6Mg686H3tHm9HV7ZSE5S/BU1PJ4eedzKSH7sISj9Fy+tnMf+Mjeg//qtGliW0pCmtv/S194yfira1h8t2/MrqinXLYLNgsKp/VdJGSS8NA/4afuTVdWFXVPCtOm+g6+995Pc62FgJTD6X2Z9dtvsnMh+IYRlFYc8+jJPILKPz8U8b8+WmjK8JqUbGoCssbM3/MVSZb0xoANh0cY7yCzz5m38fuR1cUVj3whOw9GgCxEaNZNusV1tz1O1JeH8Ufv89Rp32D8jdeMe0qszl+GjOMkkiwz5MzmX7mCeSuqiBWNoJlT73MmnsfJe31GV2e2AHN7WHlw0+TdrkY8dZr/Zd/TCzfbacrnKBC3rwBWN7US1dfwpRj4kb8/a+Uvv8OKY+XVQ/8Ad32v15qMx+KY6REcQlr7n4EgAkP32uKcXIFHjvrOvtklJxBgrEkla1B06wqO9pbmXLDz1B0ndqfXSdXiwaSotByxnl8/uYndH39eGzBAAfecg3TLj8PR2uz0dV9gYTlPeRbVcERZ5/Yf1x1KknT2T/h8zc/kSdRhghPmEzVrzbOe737RpzNDQZXtHOlXgerWwI09pi3bWQoNPZEWNUcoNSEY+LcdevZ776bAVh7y31ER2+98rRpQ6lZD8UxUtc3T6DprP9DTSY44OZrUFLGtkCoikKOw8rCDT0ySs4AK5oC2Dau8BtO0zjg1z/H3ttD19e+yYbLrzW6oqwULxtBxZMvseq+x0jm5FE09yOOOu0bjHz1z6ZaZZawvJss4TATHrqLI879Lr7qSiKjx7Hk+ddZe9sDspqcYVrOOI+O40/C2hfiwJt+Dum00SXtkKoqFHkczKnpIhAdnv3LgWiSOTWdFHkcqGZ4E92Ckkgw5YYrsESjtJ78A9pOPXO795s2/WhTH4pjpJrrbiNaPpLc1csZ8/wfjC4Hn9NGTzjBBtlgO6S6+uLUdvaZ5srRmBeeonD+HBIFhaz5ze9Blbg0aBSFtu+dxedvfUrHt76LNdzH/ndez6EXn4Wzqd7o6gAJy7um6xT/9z2O+t7XGff8kwDUX3A589/4EP8RXzO4OLFXFIXKOx8iXlxK/pL5jDN576jDZsFhtTCnevjNX46n0syp7sRhtZivTxnY5+lH+zf2jhzN2lt/u8Md8hUL5vLO7BdMfSiOUdJeH5V3zgRg3ycexLOuyuCKoNBjZ3F9D7GkeT9IZxNd11la78djt5pi466vciUTHrkPgNX3PDIsj6k3QqK4hBWPPMvKh54ikV9AwYK5HHX6sYx95jGUhLGHdUlY3glXYz3TfvZjDv7FRTjbmgkeMJVFL79DzfV3oLncRpcnvoRkfiGr730UgPFPPEjOymUGV7RzuS4bgViSRXU96Ca6NDWYNE1nUZ2fYCxJrst885S9VWsYN6v/Z2j1vY+S9uVs936bepRvmTnL1IfiGKnna8fSfMaP+tsxbjG+HcNhtZDWdFY0BQytY7ho7o3SGoiZ4nmuRiNMueFnqKkkjedeSPc3vm10ScOLotB+0ul8/tantJ10OpZolIkP38v0M44n38DXTAnL26HGouzz5EyOPO0bFH36AUlfDmtv/g0LX/mnHG2ZRXq+diwN/3cZairFgTdeaYrjd3emxOtgXUeIytag0aUMicq2ILUdfRSbcJ6ykkpxwC3XoKZSNJ5zwU4n4FStqtiqR9nMh+IYqfr624mVjSB35TLGvPhHo8uhyOtgbVuQzlDc6FKyWiqtsbjOT77b+KAMMOnBO/DU1tC37yRqrpPTN42SLChi1UNPsXTWK4THjsdbW8NXLjqTKddfgb2zfcjrUcy6SjXl4EP0X8/6ByU+59A9qK5T+t4/mPDwPbg27sZs/d6Z1My4XS7DZCk1HuPwc07CV11J05k/Zu2dDxld0k6lNI32YJxvH1DCiLzsvbrR5I/wQWUHpTkOrCbsFRz79GNMfOReouUjmf/mJ6Q9XqNLygqFcz7gkMt/RNruYMEbHxIZt6+h9YRiSWxWlZOmlJtj01kWqm4LsWBDN+W5xs8uLpj7EYf+9Fw0m52Fr/xTDhUzCSURZ+zzf2CfPz6CJR4j5fGy/qobaDrvInSrdcAe58QjJten+/zjtneb+d6FDJJbsZjDzzuZg264AldrM6FJB7Dk+ddZfd/jEpSzmOZwsur+J0nbHYz620sUffhvo0vaKauqUuix80l1J4FIdm7484cTfFrdSZHHbsqg7K6tYfyT/R+qKu+cKUF5AHUfczwtp/0QSyLO5LtuNHw3vM9pwx9Osq5DTvYbDLFkmiUNflOMirP0hTjg9hkArL/qegnKJqLbHdT99Bo+f/tTOr95ItZwH/vdfxvTz/wWBXM/GpIazPdONMRcjfVMue6nHP6jU8hdsZR4UQlr7vodC/72H9nAN0yEJ+3Pumv7R3/tf8d12Hp7DK5o55w2C3aLhY+qOogmsmsDUjie4sO1Hbhs5tzQRzrNAbdeiyURp/kH59LztWONrijr1Fx/O4m8/s09ZW//zehyKPLaWVLvl5P9BsHqlgC6rmO3Gh9FJj50V/+hQlOm0XDBFUaXI7YjNnIMyx9/gYonXiQyagzemrUc+tNzmXbZuYM+p934n1CDONpamHznDRx1ytco++ebpB1Oan96LfPem0fLGeeBxYRv1GLQNP74EvyHHYmju5P97r3Z6HJ2Kddl658UUdNJMktO+Iun0nxc1Ymm6/ic5uhf3NbovzxHXsVi4sWl1Fx/h9HlZKVkfuHmXtFJD9xu+IfXTXN/l9QPn821Q6E3kmBNS5AiE6wqF3z+KaNe+zOazc6aex8Z0Ev7YuB1HXsC89/6lJoZt5Ly+ij67COO/MHxTL7jeuxdnYPymMMuLNs7O5h036189aSjGPXqiyiaRstpP2Teu59R+/Mb5ZLqcKWqrLnnUVIuN2XvvUHJ++8YXdEuFXocdIbizK/tzvgDFFJpjc9qughGk6aZs7otV0MdEx75DQCVtz1AKifX4IqyV+vpZ+M//Cjs/h4m/O4eo8uhwG2nritCkz9idClZQdd1ltX34rBaDJ+dbgn3sf9tvwSg9opfEp4w2dB6xO7RHE7qL7qSz/75OY3nXoiuKIx67c989aQjGf/7+7EGB3aSzbAJy/bOdiY8dBdfO2k6Y156GksiTttJp/H5m5+w5je/J14+0ugShcGio8eybsatAEy++0ZsPV0GV7RrJT4HG7rCLGnwZ+yqV1rT+by2m+ZAjGITntAHgKax/+0zsMSitH33+3Qdd6LRFWU3RaHytgfQbHZGvv4X8pbMN7gchUKPnfm1Mnt5ILQEYjT6I6aYgDHhd/fgamkieMBU6i+60uhyxB5KFhRRdct9zP/Hx3QeewLWSJjxf3yYr51wOPs89TCWcN+APE7Wh2VXfS2T77ieo799OOOefxJLNErHcd9h/t8/ZNVDfyQyfqLRJQoTaTr7fHqmH429p5vJ99xkdDm7pCgKZTlOVrcEWNEUyLjArGk6i+t6qOsKU2bWoAyM/NtLFCz8jERBIVW/Nn6lcziIjJ9I3SVXATD5jusNP5TAabOQSussa/AbWkemS6Y1FmzoJs9tQzH4AJLcpQsZ/cqf0Kw21tzzCLrN+PAu9k5k/ESWP/Eii15+h+4jj8EWCrLvY/fztROOYOxzT6BGvtxo2KwNy77Vyznol5fyGweSFQAAIABJREFU1ZO/xqjX/oySStLxrZNZ+Mo/WfHYn+jb7wCjSxRmpKqsuft3pNweSv/9NiX/etPoinZJVRTKc1wsa/SzJoNmMGuazpJ6P2vbQpTmOA1/49wRR2szEx+6C4C1N/+GZH6hwRUNH3WX/nzzjNWxG09QNVKh1051e4iW3qjRpWSs6vYQ4Vgat93YvmAlkWD/O68HoO7iqyQTZInAtMNY9uxrLHnub/QecgT23h4mzrybo799OOOfeBCbv3uvvm5WhWUlkaD03Tc47MffY/oPT6T032+jW6w0n3Een789hxWPPkvwoEOMLlOYXGzkmM2btybffdOgbRgYSBa1f4V5cZ2f1S3mP3Xs/9m77+g4yquP49/Z3le7q96LVWzJttwrNjWUOKYFnEBoARxCDZhgijGm924CmBJq6M10EkrAAUx1772o9+1t5v1Dkl/ANm6SZnY1n3N0JKS19mezu/PszH3u7V4or6ztIMtpUsSI212SJAZe/3d0fh8Nhx9Dw5FT5U7Ur4hGE6tm3wFA0SP3Yt68UdY8GkHAbTHy5fomtRxjP3hDUX7c0kaaTf59CQVPP4Jt3WoC+UVs+sslcsdR9bDWMRP57tm3+OHRF2gfMhxDWwvF/7ibiUeMpOzWWZhqtu7T70uKxbKxdjvFD9zOxMNHMPiKv5Ly4zfEbHY2nfVX/vfRN6y84R4CRQPkjqlKINtP+hPN4ydjaGuh4kb5+73uDZ1GQ4bDyLcbW1iyrU2xJRlxUWLhxmZW1HaQqeSFMpA1/xVSv/iEqMPJqlm3goKzJqvWsROpmXoS2kiY8puvlv25aDZoicREtRxjH0mSxA9bWtFrBXRaeZce5q2bKXr4HgBWzb4d0diHw89UfUcQaJl4CN/+612+e+p1mg46FG0wSP5zjzP+qLFUXnE+jsXf79VrSsL2RxEiYdI++zdZb72M54uP0cQ73+V7yway7Y9nUffbE4lbrTKnVCUsQWDF9Xcz7riDSf/Pe2S8+wb1U06QO9Ue6TQaspxmftzSRjQuMizPJftu85+KxES+XN/E1pYA2U7lll5A56bgsts6N3yumXkDkbQMmRP1X2svn03apx+S+r9PSfv0QxoPPUrWPKk2I2vqfeS6LOS5k3eSZk/a3hZkc1OALKfMC1NJovzGK9GGQ9ROOZGWcZPkzaPqfYJA26jxLBo1HtvqFRQ8+RAZ779J1ruvk/Xu63RUDmHrH//8679CqWefdjnuWpJwLP2RrDdfIvP9t9B3tAEg6nQ0HDGFbX88k7bhY9SzP6oek/3avxg0+zKijhS+mv/fhFkwiaJEbUeIAek2Rhe50ct8Jgc6B458vqaR1kCkb8fY7w9JYsglfyb94/dpmngIix75l/q6IrO85x+n/JZZBHPy+Gr+54gmeccjh6Jx/JE4vxuaJXv9rdKFY3HeXlyDQauR/d8q4/03GXz5eUQdKXz5zhdEPeqE3v7IVLOV3BefJvu1f2Ho6uWutabsdty18hfLNiP2FUtI//e7pH/0DtbNG3bcxltRRc2xJ1N/zPHqSGpV75Akqs87hdQFn9Jw2NEsuf/JhFk0SZJEgzeM22pgUlkaVqN8B6kmX5jPVjUgShJuBQwh2JP0D95iyIy/ELPa+OrNzwhn58odqd8TYjFGn/Qb7GtWsOH8GWy44O9yR6LJFybDYWJyWZqiruAozfebW1hZ5yVT5jfJWm8H46dMxNjUwIo5d1Fz0p9kzaOSnyYUJOP9t8j715O4Nm9JvMXy4AFl0sujJ1P4+YeYt/9/IXbYk0bd706kdurJ6u5VVZ8w1m5n3LGT0fl9LL3zEeqPOU7uSPukxR8GBCaXp5Hh6NuDlShKrGvwsXBjM3aTHpuMC/a9pW9tZtzUSRhamll53R1sP/l0uSOpuqR8/zUjTz+OuMHI1/M/J5hXIHckatqCjCl2U57pkDuKIjX7wry3tJYMu0n2NxSlt19HwTOP0lY9iu+efQs08l9xUymEJHHkmIGJt1geKQjSd11fh1PTO3eiHzGFtpFj1VGUqj6X/cpzDJpzOZEUN1/N/2/CXboLRGK0BaMMzU2hMtvRJxts/OEY325qYXOzn3S7SRGlIHuj8orzyXr3dVpGT+CHJ15RD6gKUznzArLeeY2GQ49iyYNPyR2HaFyk2R/mmMHZuK3yd3lQklhc5INldUTjouwj7K3rVjHmhMMQJImFL3+Eb2CVrHlUynPk6IrdLpYVexSQ9HpW/eFsvn12Pl98uojV195G69iJ6kJZJYua359K87hJnd0xbr5a7jj7zGLQkWE3sXRbOx8sq6PRG+61+xJFifUNPuYvrqGuPUS205wwC+XUTz4k693XiZvMrLz+bnWhrEBrZ1xLzGIl/ZMP8Hzxsdxx0Gs1WA06vljbSDimtpP7qVV1XloDEdkXykgS5bfMQhOPs+2k09SFsmqfKfZIEB5YyQ9/u5b24aPVA5ZKfoLAyuvvIma2dA4r+egduRPtM61GINNpIhoXeW9pLV+ua8IbivbY75ckibr2EO8tq+V/65twmHSk2oyK7njxU7qOdgbecAUA6y65imB+obyBVLsUSc9kwwWXA1B267UIkd5747e37CY9/lCM7zYl7tj5ntbij/DjllZFjLBP/+ht3AsXEElxs/7iK+WOo0pA6ipUpdpLoZx81s3obCVWftOV+z0JSG52k54sp4ktLQHe/HE7X61votkX3u+DfCwusrUlwHvLavloeR2xmES204xRp+3h5L2r9M45GBvraaseydZTz5Y7jupXbD31HHzFpVg3b6Dg6UfljgNAmt3IugYf6xp8ckeRXSze2SLSYtChk/lklybgp+yO6wFYf8mVxFJcsuZRJSZ1saxS7YNt086gZdR4jM1NlN8yS+44+00jCKTajGTYTWxpDvDe0lreXlzLipp2mn1hYnHxV/98MBKnpi3INxubefX7bXy2uoFoVCI7xYzNlHilUu7/fUbO6y8QNxhZceO9oE2shX5/I+n1rLn6ZgCKHr0XY32tzIlAEATS7Ua+3tDcq2VOiWB5TTut/ihOs8zlF0Dh43Mx1W2nY9AQtp94qtxxVAkq8Y5qKtUevPTEXMqrqqkeM3HH9xYtXMDqZYuYdvaFB/bLNRpW3ngvY48/mMz33qD+6GNlH5BwIDQaAY+t8zJpMBLnx61tXdOMBBxmPQ6TDqNei0aAaFwiGInRFogSioqAhF6rIcWsl30i14HQ+n0MnNN5WX/D+ZcTKC6VOZFqb7SMm0TD4b8l/T/vMuC+m1l+61y5I6HXanCY9Px3dQNHD86StV2jXBq8IRZtbSezjzvv7Ip5yyYKn3wIgNVX36y+CVbtt8Q9wqkUQ5QkYnGRaNdHTBRlrdsrr6rmphnTWbRwAdC5UL5pxnTKq6p75PcH8wpY97drAKi4/gp0bckx9tZs0JJhN5HhMJNmN6Khs+5wW0uALc0B6tpD+MNxrEYdmU4TmU4zHpsxoRfKAAPuvRlzzTY6Koew5ay/yh1HtQ/WXj4bUW8ga/6rOJb8IHccAKxGHaIk8fmaRqJ7uEKTbELROF+saSLFrEergL7TZbfPRhONUDP1JNqHjZI7jiqB9chRThCEowRBWC0IwjpBEHaqnhcEwSgIwktdP18oCEJhT9yvqm9F4yJtgQj1HUHqOkLUd4So6wjR5AvjC8cIRuMEo3G8oRgN3nDnbbydt2v0hglEYn2yiK4eM5FZd8/jphnTeerB27lpxnRm3T3vZ2eaD9TWU/5M6/AxGJsaKLt9do/9XqXQCAJGvRa7SU+KxUCKxYDTrMdq1CVMZ4u9kfLdV+S98E9EnY4VN9ybNN12RFEiHI0TjHR+hGNxxCTceBbMK2DzmecBUH7rLBCVsTh1W400+8N8t6kFUUy+f/ddkSSJbze2EInHFXFG3fPFx6R99hExq411l10rdxxVgjvgR7QgCFrgIeAIYBvwrSAI8yVJWvGTm50NtEqSNEAQhD8AtwPTDvS+Vb1LlCR8oRj+SAxBEDDpNGSlmMmwG7Gb9ZgNWkw6LXqtsFPHA0mSCMfEHSNhm31htrcFqe+q5TPpNDjMejS91CmhesxEpkw7g+cfuZdTz7u0RxfKAGg0rLjpXsYefyjZ81+h/qipNE8+omfvQ9WrNMEAg669DIBN516Mr6JS5kT7LxITaQ9GiUkiAqAVNFhNWgy6zjc24ZhIezDStWCW0Gk6ywW6f57INp17MdlvvIhzyQ9kvvs6db/7vdyRAMiwm1hb78Nq1DEkN0XuOL1uTb2XDU0+sp3yjiEHEKJRyu6YA8CG82cQSUuXN5Aq4fXE27/RwDpJkjYACILwInAs8NPF8rHAnK6vXwXmCoIgSGqPHUXyhWP4QjEQICfFzLD8FFLtRmxG3V63ARMEAZNei0mvJcXS+XuG5KYQisZp8oXZ0OhnS0sAAUgx6zHqe7aWbNHCBbzz0tOcet6lvPPS01SPntDjC+ZgQTHrL55J2Z3XM/D6K/jqrf8St6tTvBJFydw7sGzZiK+0go3T/yZ3nH0mSRJtwSjhmIhJr6Eiy06W04zDrMOs1+7yDWwwGqc9GKW2LcSGRh/N/jgmvRZnL75x7W1xq411f7uayll/Y8C9N9Nw2NGIFqvcsRAEgQyHiR+3tGI16ChJt8kdqdc0esN8s7GFdLtJEa0ic15+BuuGtQTyi9h6itrZRnXgemKxnANs/cl/bwPG7O42kiTFBEFoBzxA009vJAjCdGA6QFZOXg9EU+2tuCjRGogQjYuk2oxUl3rIdJox9fAi1qTXkuuykOuyEIzE2dISYOn2NloCUVwWfY/cX3eNcnfpRfXoCb1SigGw5bTppH/0DimLv6fszjmsvOGeHv39qt7hWPID+c/MQ9JoWHHjvUiGxJm8JkkSrYEo4VicfI+VgZl2Um3GPY4SFgQBi0GHxaAjy2mmOi+FJl+Y1fVeNjX5Meg0uCyGhFw01x57Mrkv/BPn8sUUPjGXDRfNlDsS0NnbPN1uYsG6Jkx6DTkui9yRelwgEuO/qxuwm/SKKNHStbdR/NBdQGdNeyI9t1XK1ROP7F29sv7yjPHe3AZJkuZJkjRSkqSRbo+nB6Kp9iQmijR4O+uOS9JsTBmSzdGDsyhMtfX4QvmXzAYt5Zl2jqvOYXyJh1AsTl1HaI9ty/Zk9bJFP1sYd9cwr162qCdi/5xWy4ob7yVuMJLz2r9w/++znr8PVY946Ym5LFq4ACESZtCsvyGIIt8e+Tse++Z/ckfba4FIjNqOEGkOI1OGZDO5LI10h2mPC+Vd0WgE0h0mDipNY2p1DvluC3UdIdqDPTeops9oNKy58kYACv75MKaarXv4A31Hr9XgsRr4dFUjDd6Q3HF6VCwusmBtE3FJwqaAOmXobCVoaG+lZdT4hO5UpFKWnlgsbwN+eho4F6jZ3W0EQdABTqClB+5btZ9EUaLBG6LFH6Ey28Hxw3MYVeTGZe37d+E6rYaSdBtTh+YwLD+FJn+EFn9kv3/ftLMv3OkMcvWYiQfeNm43AiVlbDi/s/XYwOtmoPWrQwmUqLtLiuXay7CtX0NLRjZTv/q8x7qk9CZRkqj3hojGJY4YlMEh5ek9+lx1mvWMK0nlmMFZmA1aatqCCdfJoX34aOqOOR5tOMSAe26SO87PmPRaHGYd/1lRT7MvOXowS5LE95tbafCG8Vjln9IHYN68gbznn0QSBNbOvB4S8CqJSpl6YrH8LVAqCEKRIAgG4A/A/F/cZj5wRtfXvwc+UeuV5SFJEi3+CPXeUOdZ3WE5DM1zYTHIf1bAoNNQme1kanU2bquemvbEOWBvOeuvtFcOxVy7ndK7b5A7jmoXqsdM5IGLr2TUO68hAqcEvFx+z2M9v/mzh4VjcWrbQ5SkWZkyNIusXtxAlWozcmRlJqOL3DT7InQk2FnmtZfNIm4yk/n+W6R8/7XccX6muwTmoxX1B3QyQCmW13Swqq6DdAWMs+5WeveNaGJRao+bhnfgYLnjqJLIAS+WJUmKARcCHwIrgZclSVouCMINgiBM7brZE4BHEIR1wGWAOpxdBsFInJr2IGk2I1OH5jCiwK2IRfIvOUx6Dq3IYHShmyZfGG9I+QdsSadjxc33Ier05L70DK6vF8gdSfULQjTK8S89gw6YC6Seeo7iF8reUJS2YJTJZWmMLU7tkxHiWo1ARZaDKUOz0OkE6r0hWfum74twVg6b/3w+AGW3zVZMK7luNmPn5ssPl9cl9BnmdQ0+vt/cQobDpJgad9c3/yP94/eJmS2su1hdYqh6Vo9U40uS9J4kSWWSJJVIknRz1/dmS5I0v+vrkCRJJ0mSNECSpNHdnTNUfUOUJBo6QoRjcQ6tyODgijScFvnHkP4aTdcB+5jBWUgCNPmUX+vnLx3IxvMuBWDQ7EvR+v0yJ1L9VMGTD2FftYzNGg2Lz76Ad156esfgGiVq9oeRgGOqsihM7fvuDikWA0dVZlHosVLTHiSmsIXn7mz68wWEMrNxrFhC9psvyh1nJzsWzCvqaOhQ/uvaL21tCfC/dU2k203oNPJv6AMgHqe0q1Xc5rMvJJKeKW8eVdJRyCNd1VuCkTh1HUEGZNiZMjSbPLdFEa199pbHZuSYqizS7SZq24OKH6yw6ZyL8FZUYd6+lQH33Sx3HFUX69qVFHXtkF946Sz+eNm1OwbXKHHB3OAN4TDpOaoqU5Z9BN0MOg3jSzyMKnRT7w0TjsVly7K3RLOFtZfOAqDkvlvR+rwyJ9qZzajDbtDz0Yo6trYE5I6z17a1Bvh0VQOpVoMiOl90y5r/Mo6VSwllZu8YUqNS9STlPNpVPa7ZHyYYjXNYRQaji9y93t2it5j0WiaVpVGR6aC2PUhcwROxJL2e5Tfdh6jTkfevJ0n57iu5I/V7QjRK5TWXoI3HWDz5CNxdl+l7tUvKAajvCJHpMHHowHRFlEkJgsCgbCeHlqfRGogQiMTkjrRH9b89nrbqURibGymad7/ccXbJbNDishj4ZFUDK2vbFV/qsrWlc6Hsthp6vC/+gdD6/Qy471YA1l16DaI5+drzqeSnLpaTUEwU2d7WWZs8ZWhWUvT21Gk1jCx0MSzfRW37gbeX602+gVVsOuciAAbNuhRNMHHOHCWjgn/+A8fyJQSzcmi54x8/+1lvdknZH7XtQXJcZg4qS+uT+uR9kee28ptBmZ1Di8IKXzALAmuu7Nxom//MPMxbNsmbZzeMOi0ZdiPfbGzlm40tit3QvKHRxyerGnBbDIo76VLw5FyMTQ20V1VTd8zxcsdRJSl1sZxkQtE49R1hRhS4OLhcGWemeoogCAzJTWFssburjZYyDywAG/9yKb7SCixbN1HywO1yx+m3rGtX7hhQsPLGe4nb7DIn2r36jhC5bgsTBqQq6hL3T6U7TBxZmUk4Flf8xtuOwcOoOfZkNNGIojvU6LQaspwm1tR7+c+KekX9u4qixLLt7XyxtpF0u1FRZ5QBjLXbKXjqEQDWzLwBlFJDrUo66iMribQHo3jDUQ4fmE5VjnO/BhUkgoosB+NLUmnwKvcMs2QwdJZjaLXkPzsP54/fypalexjHTy1auICXnpgrU6K+IcRiVF5zCZpYlG0nnUbLuElyR9qtRm+YDIeRiQpeKHfz2Iz8ZlAmkbikqIXdrqz729XEzBbS//OeojvUaASBLKcZbyjGO0tq2dIs/+bgSEzkqw3N/LC5lQyHSZGPywH33YI2FKTuqKm0Dx8tdxxVElPeo1+1X5r8YbQagWOqspOi7GJPSjPsjC32UO8NK3aXvreqms1/vgBBkhh07aVoQkFZcnQP4+heMHePA0+EYRwHouDJh3aUX6y9fLbccXar2R8mxaLnoLI0RS5IdsVlNXBkZQbhuKjokoxIeiab/vI3AMpuvxYhptysAG6rAYdRx6erG/lyXRPBiDwbKlv9ET5cXsfmZj9ZTgV1vfgJx5IfyHrnNUS9gXWXXiN3HFWSU94zQLVPJEmiviOE22LgyMpMxbeE60nlmQ5GFrqo7wgjKnTT38a/XoavuBTrxnU7ygH6WvdGtptmTOepB2/nphnTfzYOPBn9rPzihnsUW37RHoxi0GmZXK68GuU9SbEYOGJgBoFITNGb/racPp1Abj72NSvJfvU5uePskVGvJdtpYnOLn/mLt7Oh0ddnr29xUWJFTTvvLq0hGhNJt5uU2T1JkijrahW35fTphHIL5M2jSnrqYjmBiZJEXUeIPLeZQyrSMRsS62DbEwZlOajKcVDboczBCaLRxIqb70fSaCh46mEcS36QJUf1mIlMmXYGzz9yL1OmnZHUC+Xu7hc7yi/GT5Y70i4FI3EicZFDKxJ3b4HHZuTwQRl0BGOEo8psKycaTaz9+xwASh68A11bq7yB9oIgCKTZTNgMOhasbeK9pbXUtffua1xDR4j3l9by/eZWUq1GHGblnnhJ/3A+KT9+Q9iTysbpl8gdR9UPqIvlBCWKEnXtIcoy7EwYkDiXb3uaIAgMy3MxIN1Gg1eZE7E6hgxn8xl/QRBFKq+6CE2g7+sRFy1cwDsvPc2p512q+GEcB6po3n2KL7+IxkVagxEOrUjHqeBFyd5It5s4uCKNJn9EsZtuGw87mpYxEzG0tVD88N1yx9lrRr2W7BQz0bjIRyvq+GBZHdtaAz3WPlOSJBq8IT5ZWc8Hy2uJxkWynGZ0Cj6eaMIhSu+5CYANF85U7FUjVXJR7jNCtVuiKFHTEWRQtoNRhW60SbqRb29pNAKji9yk2o20+JW5YN5w4RX4BpRj3bR+x+XDvtJdozzr7nmcedFMRQ/jOFCOxd9T+Oh9SILAipvvV+SBVJQkGrxhxhV7yHCY5I7TI3JdFiYM8Ci3JEoQWH3ljUgaDbkv/BPrutVyJ9ondpOebKeZcFTkk1UNvP7DNhZvbaPZt3//3oFIjPUNPt5dUssHy+po8UfIcpixm5T/xi3v2ccwb9+Kr7SCmhP+KHccVT+hLpYTTPdCeWhuCiMKXEnb8WJf6bUaJpWmodNqFLlDXzSZWXbHw4h6A7mvPEvaJx/02X2vXrboZzXKSh3GcaC0fj9VMy9AE4+z+cy/0qrQUpN6b5hBWQ4GpNvkjtKjBqTbqc53UqfQkih/2UC2nXQamnicsttngwIz7onNpCPbacZm1LG8pp33ltbxyvdb+WJtI+savNR3hGgPRAlG4oSinR++cIwWf4StLQEWb23l3SU1vPb9Nr7a0IwoSWQ7zaRYDMqsTf4F/U+GzKy54nokXWKWL6kSj6DEFzWAqqHDpKvnvUm6PTnOvPQEUZKobQ8yJDeF6ryUhHhx62st/gjvL6slxaxX5Iap/KcfpeyO64i43Hz9xmdE0tLljpQ0Bs6eQc5rz+Mtr+SbF99DMhjljrST1kAEu0nH4QMzFH2pe3+JosT/1jexuSVApgJfu/WtzYw/Zjz6jnYWPfg0TYceKXekAxaLi/gjcULRGBICIAH/f2zo/g4SaDUCNqMOk16TkMePiuuvIPflZ2iadBiLHn5e7jiqJHPk6IrNcV9r4a5+lnyv1klKlDprlKtynOpC+Ve4rQYmlKTStJ+XJ3vbltPOpXncJAytLQy65hJQaNu7RJP2yQfkvPY8cYORZbfPVeRCORiJI0oSE7uugCQjjUZgbLEHj8VAayAid5ydPPf6C3z+2xMAKLvjOoRIOOF7juu0GpxmPRkOM5kOE5k7Pnd+ZHR/7TSRZjdiNmgT8vhhXbuSnFefQ9RqWXP5dXLHUfUzyfmKnWS628OVZ9oZludKyBe6vlSYaqUqx0m9NyR3lJ1pNCy/5QEiThep//uUvH89KXeihGdobGDg7MsAWHfZLPylA2VOtLO4KNESiDC5LB2bMbkvHeu1GiaVpQHgV1gP5vKqaqa9/ybNWblYtm5Cd8s1/aLneMKTJMruuB5BFNl+8ukESsrkTqTqZ9TFcgKo94YoTLUystCt1ijvpaG5KaQ7TIo8uxVJz2Tl9Z09gAfcfSPWtStlTpTAJIlBsy/F0NpC87hJbD31bLkT7VKDN0R1XgqZTuWVJvQGq1HHweXpdISiiuqQUT1mIlfe8xjnetsAGP7Kc9wy+/akbqWYDDwLPsHz5WdE7Q42XHC53HFU/ZC6WFa4Rl+ITIeJscWeft/1Yl/otBomDEglLkmEFNj/tfGI37L9xFPQRsJUXXG+bNP9El3uC/8k9fOPiTpSWHHz/aDASWOtgQgZDhNVOU65o/SpNLuRcV1j6UUF7Y1ZvWwR3kOOYj5gB477/OOEL8VIZkI0SmlXB6GN511K1OWRN5CqX1LekUW1Q1sggt2oZ2Jp/+2jfCBsRh0TB6TS7Fdm/fKamTfiLyjGvmYlZbdeK3echGNfsWRHG76Vc+4knJElb6BdCEfjxESJ8QNS++Wb3ZI0KwOznNR3KKckSqvV8fE7r/H6IUcSAbLfeJF3L/mzWoqhUDmvPodtw1oCeYVsPeXPcsdR9VPqCkyhfKHOWr+DK9Ix6ZXX1SFR5LosVGY7afAp52DdLW61svTuecQNRnJffY7Md16TO1LC0Ho7GHzZdDTRCFunnUHDkb+TO9JOREmiyR9hQokn6euUd0cQBIblp5BqMyqiJGrRwgW8+PgDTL/8Ot5c9C1vdNW+Pm53UD16gszpVL+k62ineO6dAKydca0iN+7uj1hcJByLE4mJPTZgRtW71MWyAoWjcXyRGIdUJP9moL4wNC+FFLOB9qDy+i/7Blax5qrOaVQVc/6OZcNamRMlAEli0HUzsGzdhLeiirUzr5c70S41ecOUZdjI91jljiIrvVbDxNJUYqL8JVHdPcd/f+Z5TJl2BueuX0OrwUhJzTYy3n1D1myqnRXOuw9DWwutI8fSePgxcsfZL6Ik0RGMUtcR3PHhC8eIiRLhuEhbMEJdR5D6jhD13hCBiLI2xao6qSsxhYmJIo3+CIdVpOGxJce7aLnpu+qX313GfUcNAAAgAElEQVRag9WgVVzbru0n/YmU774i693XGXLZuXzzwnuIZovcsRQr56WnyfjwbWJWG0vumYdoVN6mOX84hsmgZXiBS+4oimA36TmoNJWPVzaQ5TDJtlF52tkXAv8//n3qeZdy7TPzmBsJU3rPjTQeeiSipX+/uVEK85ZN5D/7ONA5gIQE6wIVjYu0+CNIQE6KiWGeFFxWAzajbqdjUDgWxxuK0eQNs77RR217EJ1GwGU1oFPgPoz+SP2/oCCSJNHQEWZkgYs8t/qC3ZNcVgMjC9w0+BQ4DlsQWHXdnfiLBmBbu4qKm65KyOlifcG+Ygnlt80GYOX1dxEsKJY50c5EUaItGGXigFRFDsaRS67LwpBc+Vs6/nL8e+ED/+RHrRZTfS2Fj6ub/JRiwD03oolFqZl6Et7KoXLH2WtxUaLOG6I9GKU6P4UThudwSEUGRWk2UiyGXZ6sMeq0pNqMVGQ5+O2QbKYOzaEs006zL0KjL6TIPTf9jbpYVpBGX5iiNCuDshxyR0lKZRl2shwmWvzy107+UtxqZck9jxE3mcl+8yVyX3xK7kiKo29pYsjFZ6GJRth28unUH32c3JF2qd4bYnCOk3SH8s54y21wjpM0u1HW5+BO49/HTWLlFZ2lPAX//AfmzRtly6bqlPLdV2T8+13iJjPr/3a13HH2WnswSoM3RFW2g+OG5VCZ7cRi2PcL+E6LnhEFbo4fnkNpup16b1iRZYT9ibpYVoj2YBSHSc/oIrWXcm/RaATGlHiIiaKier9285cNZMX1dwNQdtu1pHz7pcyJes9LT8xl0cIFP/ver7XvEqJRBl82HXPtdtoHD2PNlTf0Rcx95g1FcZj1DM7tX23i9tb/t3QUCctUvzzt7At36quc/qdzqJl6EtpImPJbr1Gv7MhJFCm7o3NC3+Y/n6/ILje/JIoSte1BLAYtvxuaTXWeq0c25lsMOkYWuvntkCwsBi217UFi6tRXWaiLZQUIReOEY3EOKktTL9v2ModJz6hCN41eBZZjAPVTTmDTWeejicUYcuk5mGq2yh2pV5RXVXPTjOk7Fszdl8Z3176r9K7rcX/7JeHUdJbc/6Qi65TjooQ3HGPCgFS11eOvsJv0nSPp/RFF9V9eN2M2UbuD1C8+Ie2TD+SO029lv/EijuVLCGVksems8+WOs0fhaJzajiBVOU6OGJRBisXQ4/fhthr4TWUmwwtc1HeE1U2AMlBf0WUmihLN/jCTytJwmvVyx+kXStJsZKcosxwDYN2l19A04RAMrS0MvegsNMGA3JF6XPWYicy6ex43zZjOUw/evqOGdFeT1LLeeIH85x5H1OlZct8Tij3T1OgLMzTXSaq6MXeP8j1WKjLtitpDEElNY/1FMwEou3VWUj7vlE7X0c6A+24GYO2M2YrfbOkLx2gNRjm0Ip1h+a5e3Tyu1QhUZjs5enAmkZhIi185z53+QF0sy6zOG2JoXgq5LrX7QV/RaARGF3uIKrQcA62WZXc+TCC/CPuqZQya9TdIwktv1WMmMmXaGTz/yL1MmXbGLhfKjiU/MPD6zgXMqmtvo33YqL6OuVe8oSh2k45B2Wr5xd4alu/CbtThDSmnFnP7tDPwVlRhrt1O0bwH5I7T7xQ/dBeGlmZaR4yl/hhl7kno1h6MEo6JHF2V2acb8tPtJo4enIXdpKe+I4SkoKszyUxdLMuoxR8my2FicE6K3FH6HYdJz4h8F00+ZZ5djjlTWPzgU8SsNjI/mM+Ae2+WO1KP627fdep5l/LOS0/vVMNs3ryR6gtO2zF4pOb3p8qU9NeJokRHKMb4ErX8Yl8YdBomDkjt6jmrjDeDkk7HqmtvAzo3+1k2rZc5Uf9hXbeK3BeeRNJoWH3VTYpuFdcWiCAIcFRVpiwtXq1GHYcPyiDfY6G2Q1nj5JOV+souk2AkjgT9dgyuEpRm2Em1KXNYCYB/QDlL7nkMUaej8MmHyH3+Cbkj9Zhftu/qLsnoXjDrW5oYdt4pGFqaaR5/8I7BLUrU6AtTleMgza6WX+wrj83IiAIXDR3KuaTcXj2S7Sf8EU00QvnN6ma/PiFJlN8yC008zraTTsM3sEruRLvVFoig0QocMShD1tJJvVbDhJJUBmY5qG0Pqu3lepm6WJaBKEo0ByJMHJCKVZ3QJxutRmBssYdAJKbYkaMtEw9h5Zy7ACi/dRZp/35X5kQ9Y6f2XV01zKuXLUITDFB9welYtmykY+Bgltz3OJJemfX8/nAMs0GrXh06ABWZDrKcytpDsO7Sa4g6nHi+/Iz0JHnOKVn6v9/FvXABEaeLDRfPlDvObnUEowiCwBEDM7Cb5H9N0mgERha4GJqXQm1HSLHHsWSgLpZlUO8NMyTHSY5apyw7l9XAkFwnjT55ByX8mtrj/8C6i69EkCSqZl6A84dv5I50wHbVvqt6zET+cMZ5DP77X3Eu+YFgdi6LHn6OuNUmU8pfJ0oSbcEI40tSMejUl9L9pdEIjO1q6RiJKaMcI+pOZd0lVwFQdvtstH6/zImSlyYYoLSrVdz6i2cSTXHLnGjX/OEYUVHkcIUslLsJgsDQ3BSq81Ko61AHmPQW9RW+j7UFInhsnQs0lTIMynZiMerwh5XbjmfT9EvYdvLpaMMhqi84HdvKZXJH6nmiSMUNV5D26YdEHSn8+OgLRNIy5E61W83+MGUZdjKdymtjl2jsJj1jijw0+sKK2bC0/aTTaK8ciqmuhpIHbpM7TtIqfPIhzLXb8ZZXsv2k0+SOs0vhaOc46sMGZuC0KGeh3E0QBIbkOhma56SmI6jWMPcCdbHchyIxkXBMZMKA1F5tMaPaN3qthvHFqbQFI4o5UO9EEFh9zS00HHY0+o42hp97Mta1K+VO1XMkifKbrybntX8RN5lZNPdpAsWlcqfarXA0jkbQMCzfJXeUpFGcZqXAY6EloJByDK2WVdffhajVkvf84ziW/CB3oqRj2r6FgiceAmD1NTeDVnlzBmKiSJM/wuTyNEW3hew+w1yV7aRO7ZLR49QVWx+RJIlGX5hxJR61n7ICZTpNlKbbaVZw70pJp2PpXY/QdNChGFpbGH72yVg2rJU71oGTJErvmEPei08RNxhZPPdp2keMkTvVr2ryRxhT5O6RKV2qToIgMLqo8xJ8SKbpfr/kHTiYLaf/BUGSGHjdDISoMjcDK90uJ3Z+/QWOv5yCNhyi7pjjaRsxVqZ0uydJEvUdIUYVushzK79sUhAEhue7KE23Ua+gTbPJQF0s95Emf5jiVCtFqcpust6fVeenICEopm5yVySDkSX3P0nzuEkYmxsZcebx2FavkDvW/hNFym6dRcEzj3YOHbn/CVrGTZI71a9q8YfJd1ko8Cj/4JloLAYd44o9tPiVc5VnwwWXE8grwL5mJQVPPSx3nIS0q4mdiy4+iyEb1xGz2VlzxRx5A+5GvS9MabqdgVkOuaPsNY1GYFShmxyXmYYO5e7FSTTqYrkPBCIx9BoNo4rcCAruHdnfWQw6RhW6aFLw2WUA0Whi8YNP0Tx+MsbmJkaceTyOxd/LHWufCbEYg2b9jfznn0DUG1hy7+M0Tzpc7li/KhoXicQlRha51OdyL8lzWyhOtynmeSiaLayafQcARf+4G/PmDTInSjy/nNh532Xn8rChcyz0ukuuUuTehLZAhBSznpGFiXfc1mk1jB/gwWkxqJP+eoi6WO5loiTRGogyoTRVvWSbAIpTbaTajIrtvdxNNFtY9NAzNBx+DPqOdoaffRKeLz6WO9Ze0wQDDL7sXLLfepmY2cKPjzxP06FHyh1rj5p8YUYUpChqN3yyEQSBEfkutIJGMeUYLeMnUzP1JLSRMAPn/F3tvbwffjqx87H8IuytLbRXDmXbtDPkjraTcDROVBSZVJaWsJ1ujDotB5enodVoFDUlM1El5qMggTR6w1RmO8hymuWOotoLGo3AmCI3/nBM8S14JIORpXfPo+bYk9EFA1Sff1pCDC4xNNYz4ozjSf/4faIOJz8+/jKtYw+SO9YeeUNRXBYDZRmJc0k2UZkNWsaVeGhWUDnG2ivmEHG5cX/zP7LfeEHuOAmne2Ln1b8/ld8s+QFR0LBqzp2K29QnShJN/jATB6TiSPA3xVajjkMq0glG44p545mo1MVyL/KFYthMOobkqgMLEonHZmRQtkMxl4F/jaTTseLm+9nw18sQRJGKW66h/KarFLsRyb5yKaP/cAzO5YsJ5Obz7XNv0149Uu5YeySKEt5wjLElHnXiZh/Jc1soUVA5RtTlYc2VNwJQeuf1GBobZE6UOLondl5758NcsXoFWuBRg54vvB1yR9tJfUeIymwnee7k2F/kthqYVJZGsz+imLHyiUhdLPeSuCjREYqqAwsSVFWOE51GQzgR3o0LAhsuvIJlt81F1BvIe+GfjDjjOIw12+RO9v8kiZyXn2HkKVMw1W2nbdhovn3hPQIlZXIn2ytNvjADsxyKbh2VjJRWjlH32xNomnAI+o52Km6cqZZj7KXuiZ1TNqzFufRHQumZRO95jNXLFskd7Wfag1FcVgND85LrBFeuy8LIQhf1aku5/aau4npJgzfM0DwnaXb14JqITHptQmz2+6m63/2e7596nVBmNimLv2fsiYeT9vH7csdC19FO5cwLGHj9FWgjYbb9/k/88MTLRN2pckfbK6FoHL1Ow+AcdZBQX+ssx3DT7FfIsBJBYOWcO4lZbaR//D6Zb78qd6KEMO3sCxmbk0fJvbcAsPqaWxh08G+YdvaFMif7f9G4SDASZ+KAVPRJOAdhUJaDAel2GnyJc0xTkuR7RChARzCKy6KnMls9uCayAo+VTIdJ8Zv9fqq9eiQLX/03TQcdir6jjaEXn0XV3/+KvqVJljypn37E2GMnk/Xu68TMFpbe/o/OQQ/GxJl616z2VJZVrstCcaqNZoUMKwln57L6qs5yjPJbrsFYVyNzogQgSQyaPQNdMEDdUVNpPPwYuRPtpNEbZkyxmxSLQe4ovUIQOlvKOc162hTyXEok6mK5h8VEEX8kxnh1Sl/C02gERhd5CETiit/s91NRl4dF/3iO1TNvIG4yk/neG4ybOonsV55DiPXNSG/T9i1UzZhO9YWnY2qoo23oCL555SPqp5zQJ/ffU1oDEfJdloQYSJCsBEFgRGHnpMRwTBnlGLXH/YHGyUeg93Yw6NrL1HKMPch+9XncCxcQcblZffXNcsfZSbM/TK7LTEmaTe4ovcqg0zCpLI2oKCmmtClRqKu5HtboDTMs34XbmpzvTvsbl9XAoGw7TYl26UqjYevp0/n6jU9pGT0BQ2sLg+ZczpgTDyP104967eCub22m9M45jP/tRDI/mE/cZGb1zBv47tn5BIoG9Mp99pZYXCQSFxmh9lSWncWgY0yhmyafQs6ICQIrr7+biNOF58vPyHn5GbkTKZaxdjtld84BYPXVtxD1pMkb6BfCsTiiBKOLPWj6weZdh0nPpNJUmv0R4gl0Ekhu6mK5B3VvDqjItMsdRdWDKrOd6LQJstnvF4L5hfzw5KssvesRArn52NatpvrC0xl77GSyX30eTSjYI/djWb+Gijl/Z+JhIyh46hE00Qi1v/s9X739OVtPn6649lB7o9EXZlheSsK3j0oWhalW8l0WxQxZiKSls2r2bUBndwzzlk3yBlIiSWLgDVeg8/toOPQo6o8+Vu5EPyNJEk2+CGOL3NiMOrnj9Jkcl4Vh+SnUqxP+9pq6WO4hMVEkEIkxoUQtv0g2ibjZ72cEgfqjj+Ort79g9cwbCGVkYVu/hkHXzWDSQVVUzryAtE8+QLsvbZwkCcvGdRQ8MZfRJ/+G8VMnkfvKs2jDIRonH87CVz5i+W1zCWXn9d7fqxf5QjEcZj1lGeobX6UQBIGRRS5iokQ0rowWWA1HHUvd0cehCwaouuKvim3ZKJesN18k9fOPiTqcrLr2NlDYFZpmf4TCVAuFqcnRJm5fVGU7yXWZE/e41scEReww3oWqocOkq+e9Sbo9MTYC1bYHGZbvokrdMZ+URFHi3yvq8IZiCb8BRIhGSf/wbfKfewzn0h93fF8SBPwDyumoHEooO5dQZg4xW2cNnxAXMTQ1YKqvwbJxHc7FP2Boa9nxZ2MWK3VTTmTLaecSKC7t879TTxIlidqOEEdXZpLuSIzXn/5kTZ2Xrzc0k52ijEFPuvY2xpx4GOba7Wz68wWsm3Gt3JEUwbx5I2NOPAxdMMDyWx6g9tiT5Y70M+FYnI5QjKlDs7H2o7PKPxWMxHl3aQ16jabf/hv81JGjKzbHfa2Fu/qZ+q/TAzrU8ouk173Z7+0lNThEKaFr2yS9nvopJ1A/5QTMWzeT/uF80j79EMfyJdjWrsK2dtVe/Z5wajqtoydQf+TvaJ54CKJJGYuXA9XsD1OeYVMXygo1IN3GhiYf7cEoTrP8JTIxZwrL7niYEWceT+GTD9EyZiItEw+RO5ashGiUqpnnd3a/OPpYaqeeJHeknTT5whxUmtavF4lmg5ZJZWl8sKwOo06jXhX/Ff33UdJDurtfHFyRrT7QkpzLaqAy28HqWm/SLKSCeQVsPuciNp9zEZpwCPuKpdjWrsRUW4Oxbjva7ppmQSDiSSOUkUUwN5+OwcM6SywUdln1QIWjcTSChuo8l9xRVLvROZLewztLarAateg08r/utg8fzYYL/s6AB26j8uqLWPjaJ0TS0uWOJZuih+/pHD6SmcOqa29X3OtEayBCnstCUT8sv/ildLuJUYUuvt3YSpbTpG5m3g11sXyAmrwRhualqN0v+onKbCfrG/yEo3GMSdZ3VzSaaB82ivZho+SOIpsmf5hJpWlqT2WF656ytnhbO1kKeeO66ZyLcC9cgHvhAiqvupAf570ICljI97WU77+m6LH7kQSBZbc9SMyprGl40a4uNyOL3OrCsEt5hoP6jjB17UFSbcp4PilN/3sm9yBvKEqKRc+gLIfcUVR9JOE3+6l2qzUQITvFTIFHPduUCAZmObAbdfjCfdM7fI+0WpbdNpeI24Pnq88pevQ+uRP1OV1HO5VXXoggimw65yLaRo2XO9JOmnxhhuerXW5+SqMRGFvsQa/V4lfK80lh1MXyfoqLEt5wjHElHrX8op/pnuynTkFKHjFRJByLM7qwf/RaTQZ6rYZxJR7aQ1FEhWxUj6RnsvyWB5EEgeKH7iT1s4/kjtR3JIlBs/6GuWYb7ZVD2XD+5XIn2kn3/qKyDPUE1y+Z9FoOKkulLRglJiqj24ySqKu8/dToCzMk14nHZpQ7iqqPdW/2C0bFhJrsp9q9Rm+E6jwXTot6timRZDhMlGfYFDU0qPmgQ1l/0UwESaJq5gVYNq6TO1KfKPjnP0j/+H2idgfL7nwEyaCs0kRRlPCFY4wt9qBV3xDvUrrdxMhCF/Udynk+KYW6WN4PvlAMu0lHZbbaJq6/6p7s16iWYyQ8XziGw6yjXO1mk5Cq81xoNcoaGrRp+iXUH/FbdD4vQy8+C63PK3ekXpXy3VeU3HcLACtueYBgQZHMiXbW6A9TmeMgVT3B9asGZjrIc5lpVo9tP3NAi2VBENyCIPxbEIS1XZ93uYVcEIS4IAiLuj7mH8h9yk0UJdpDUcaXpKJXyy/6tcpsJwathpCCDtKqfSNKnc/nccUe9fmcoEx6LWOK3DT5FVQWJQisuPkBfKUVWDesperKCyFJL20b62oYPOMvaOJxNv35AhoPPUruSDsJReMYtRp1DsJe0GgExpZ4EBAIRtRjW7cDPTpcCXwsSVIp8HHXf+9KUJKk6q6PqQd4n7Jq9IUZnOMkza6+O+3vTHoto4vcNCvpIK3aJ82+iNpTOQkUeCzkusy0KOi5GLdaWfzAU0QdTtI+/ZCSB26TO1KP0wT8DL3oTIxNDbSMGs/6S66SO9IuNfsjjCl2Y9SpXW72hsWgY1JZGi3BCHG11BA48MXyscDTXV8/DRx3gL9P0XzhGBajVn13qtoh320hJ8VEq7rZL+GEonG0GkHtqZwEBEFgZKGbSFwkppBR2ADB/EKW3vkIolZL0WMPkPPys3JH6jmiSOU1l+BYsYRAXiFL73scSae8brQt/gj5Lgu5LovcURJKptPE0FwnDd6Q3FEU4UAXyxmSJNUCdH3eXRd2kyAI3wmC8LUgCAm5oBZFifZglAklqRh06uVaVSdBEBhV6CEci6s7iBOIJEk0+yOMLXarPZWThNOsZ1h+Ck0+Zb1xbZl4CKtm3wFAxY0zk6ZDRvHcO8n46B1iNjuLHnqGaIpb7kg7iYkikZjI8EKX2lN5PwzOSSHNblTUFRu57HHVJwjCfwRBWLaLj2P34X7yJUkaCZwC3CcIQslu7mt616L6u5bm5n349b2vwR+mMtuhXq5V7cRp0TMkN4VGr7ohIlG0BCLkeyzkudWzTcmkPMOO3ayg3stdan5/Khv+ehmCKDL48r/g/PFbuSMdkJwXn6L40XuRNBqW3vUogZIyuSPtUpMvQnV+iiLGoicirUZgwoBU4pKoqA20ctjjYlmSpMMlSaraxcdbQL0gCFkAXZ8bdvM7aro+bwA+A4bt5nbzJEkaKUnSSLfHs59/pZ7nD8ew6LUMyVXWJCKVcgzMcmA16QhElHWQVu0sGheJixKjCtUJXslGp9UwrthDh4J6L3fbcMHf2X7CH9EGgww77xTsyxcD8NITc1m0cMHPbrto4QJeemKuHDH3KP3D+VTc1FmbvHLOXTQfdKjMiXYtEOksm1S73BwYu0nPxAGpNPkjintO9aUDrSeYD5zR9fUZwFu/vIEgCC5BEIxdX6cCE4AVB3i/fUaUJFqDUSYMUMsvVLun7zpItwYiSEnygpJoB/G91egLM6rQjc2ovPpK1YFLd5goTbcpr/WVILDqujupO2oqOp+XYef+AdvqFZRXVXPTjOk7nmuLFi7gphnTKa+qljnwztwLPqVq5oUIksS6S66i5sRT5I60S5Ik0RqIMrZI7XLTE/LcVgZlOfr11dMDfRTdBhwhCMJa4Iiu/0YQhJGCIDzedZuBwHeCICwGPgVukyQpYRbLjb7O8osMtfxCtQdZTjMl6Xaak2SzXyIdxPdWWyBCpsNESZpN7iiqXlSd11mjGo4p69KxpNOx/LaHaDzkSAztrQw/+/ccZHcw6+553DRjOk89eDs3zZjOrLvnUT1motxxf8bzxScMvehMNNEIW/50LpvOvVjuSLvVGohQmGohy6ket3tKdzlLezAqdxRZHNBiWZKkZkmSDpMkqbTrc0vX97+TJOmcrq+/lCRpsCRJQ7s+P9ETwftCIBLDrNcyJFftfqHaO8PzU5AkiMQSf7Nf9ZiJCXEQ31uxuEgoKjKmSB1pnezMBi2jCtw0K2yzH4Ck17P07kdpmnQYhtYWRpx1IgfrdEyZdgbPP3IvU6adobjnmOfz/zD0ojPRRsJs/cOZrLnyBlBoCVNMFInEJYbnq5v6epJeq2FiaSqhWDwpjm/7Sr0+sRuiJNES6Bw+ovZmVO0ti0HH6EK3osbvHojqMRMVfRDfF42+MMMLUtSR1v1EUaqVdIdRkWfCRKOJxff/c0dJxtBzTib67GOcet6lvPPS0zuVP8kp453XGXrRWZ1nlE89m9WzblXsQhmg0RehOi8Fu0l9nve0FIuBsUUeGn3hpCk33FvqYnk3Gn1hKrMcZKqXcVT7qCjVSpYzOXovL1q4gHdeelqRB/F90R6M4rEZKc90yB1F1Uc0GoExRR4CkbgiBytIBgPL7niYJZMOQx+J8GLAz2y7k1l3Pfqz8if5AkoUPvYAg2eejyYWZfMZf2HNVTcpeqEciMSwqpv6elVxmpXSdFu/q19WF8u74A93lV/kqeUXqn2n0QiMLvIQjiprQMK+6q5RnnX3PM68aOaOkgzZD+L7KCaKBCIxxhV70KrlF/2Ky2qgMttBo9I2+3XTanlwxFgWHDcNQZIou3MOf3zvDa67bS6rly2SLZYmHGLgdZcz4L5bkASB1TNvYO0V1yt6oSxJEm2BKKML3eqmvl4kCAIjCl1YTTq8IeVdtekt6iPqF0RRoi3U2f1CLb9Q7S+nRc/wghQaE7gcY/WyRT+rUe6uYZbzIL4/Gr1hhhe4cFkNckdRyaAyx4FJpyEYUdZmv27TzrmI0M33s+SeecRNZnJe+xfn3HMzZx38G1nymLdsYtQpU8h57XniBiNL73mMradPlyXLvmgNRMnzWMhJMcsdJekZdVoOKk3DH4kRTeATQvtCXSz/QqMvTJXa/ULVA8ozHbisBkXWTO6NaWdfuFONcvWYiUw7+0KZEu27tkCEVJuRCrX8ot8y6rSMKXLTovC2jg1HTuW7Z98ikF+EffVyxpx8JDkvPgV9NRlUksh662XGnHQE9lXLCOQV8t2/3qHhN1P65v4PwI5Jfeqmvj7jthoYW+yhwds/6pfVxfJP+EIxrEYdg3PU4SOqA6fVCIwvSSUQiamjsGUQ7ep+Ma5ELb/o73JdFvJdFloDyn7j6h00hIWv/puaqSehDQUZeOOVjDxtKrZVy3v1fk3bNjNs+h+ovPpidD4vDYf/loWvfIR34OBevd+e0uQLMyTPqU7q62MlaTZK0m0JfQV1b6mL5S5xUaIjpA4fUfUst9VAdZ6r322GUIJGX5iRhS5SLGr5RX8nCAIjilxE4qLi37jGrTZW3PogS+5+lHBqOimLvmPMSUcwcPYMTNs29+h96ZsbKb3jOsZNnYzny/8ScbpYfssDLLnvceL2xLgaE4zEMem16tUjGQiCwKhCF1Zj8tcvq6vCLo3eMEPzUkizG+WOokoyA7PsuKwGOhK0HCMRtfjDZDtNlGWou+JVnRwmPdV5KTQqsPfyrjQcdSxfvrOALX86F4Cc155n/DHjGXT1xTgWfw8HcOnbsn4Npbdfx4Qjx1Dw9KNowyFqp5zIV29/Tu2xJyt6I98vtQQijClyqye5ZGLUaZlUmoY/HE/q+mVBqbwwhgcAABjeSURBVLUmVUOHSVfPe5N0e+/XDrcHoxj1Go6qzESn7qJV9YIWf4R3l9SQZjei06iPsd4UjsbpCEf53dAcdaS16meicZG3l9SgEwQshsR5bFg2rafw0fvIfPd1NPHOjYr+whLqj5pK65iJtA8Zjmj6lY1t8Tj2Vctwf/0FaZ98SMqib3f8qHHy4Wy4aGbClFz8VGsggsui57CBGWqtsszWN/hYsK6JLKcJTYL+vzhydMXmuK+1cFc/6/eL5WhcpNkXYcrQLPVyrapXrahp57vNrWQ71d3avUWUJGrbg0wuS6cw1Sp3HJUC1bYH+ffyerKcpoRbYJm3bCL3pafIfPs1jM2NO74v6g0E8gsJZecSTs9EEjQIkoi+vR3z1k2Yt25CF/DvuH3MYqXumOPZftKf8Cbo+Pq4KNHgDfG7odnqsVsBJEnim40trGvwJWyDhF9bLCfOW+te0ugNM6bYrT7ZVL2uPNPB1tZg19kQ9fHWG5p8Ycoy7BR4LHJHUSlUltNMUaqVmvYgHmtild0F8wtZ+/c5rLt0Fu6v/otnwae4vv0K25oV2NavwbZ+ze7/bE4eLWMPomXsJJomH0HcmthvJpv8YSqzneqxWyEEQWB4gYsmX4S2QCTp/r/068Vysz9MrstMabpa16jqfVqNwLgSD+8sriESE9Uaux7mC8UwGbQMU9tHqfZgWIGLrYsCRONiQg6wkHQ6mg86jOaDDgNA6/Ni3rYFU802jE0NnbcRBOJWG8G8AoJ5BURT3HJG7lGhaByDVkNljrqpT0n0Wg0HlaXy7pJaQtHOjZfJot8ulkPROBIwptiDRm0rpeojDpOescUevljbRHYCXgZWqlhcpCMU5ZghWUn1Aq3qHTajjmH5KXy3qZWsJCiLitvs+Coq8VVUyh2lT7T4I0wuT1MHhymQw6RnUmkq/1nZQIYjefboJMffYh+JkkSzP8yEklSs6gYgVR8rSrUyIN1GU4Lsylc6SZJo8IYZVeQi1ZZYl9VV8ilNt+Mw6/GFY3JHUe2DtkCETKeJPJdaaqVUOS4LwwtSkmpgSb9cLDd6wwzMcpLnVp9sqr4nCAIjClwYDRp8IfVAfaCa/GHyPRbKM9RLsqq9p9NqGFfsoT0YRUySA3qyE0WJYFRkVKFbvSKscJVZTgrclqQ5KdTvFssdwSh2s47qPHVKn0o+Jn1nb0pvOJrUvSl7my8Uw6jTMlYtp1Lth3SHidJ0Gy2B5DigJ7smX5hB2Z1961XKptEIjCn2YDFq+b/27jU2jus8A/D7zezsnXvfJZekKC5vokRJ1pW6WL4pTuBbk7RA4QRtkQIBjAJ1kbYG2hTInwL+0x9pCzQFCqMpmqJB4gBpgTQpmqZNWsNB60ROlNSOI9sJnFgWRS5JibvL3dnLzOkPUoYvWpu33ZnZfR9AsEhT3A8YLuedc75zzloPnDHQV2G5admoNizcNZXl4ipyXCYawHwhhaWy2TNTVd3UtGyU603cPZNlnzLt2LGxBJRSfGh1uXrTgk/XMDccd7oU2qKgoePemRwalgWzaTldzq70TWK81dd4djLFp1JyjZnBAUxkoyhWeBz2dtib7+dzkxn2KdOuhP0+nBxL9cx0ca9aXq9jvpDig7HHxMMG7pnJYrXaQMvDD6R9E5aLlTomc1FMZqNOl0L0JhHBfCGFSMDXE1NV3bJYruNgPobJrLf3iiV3mMxFkYwYKJt8D7rRzWoD+XgIY1xn5EnDiTBOjyexWK57dn1AX4TlstlEJODD6XHuv0ruE/BtTFXVW92dqnr685/D5eeefdvnLj/3LJ7+/Oe6VsNOrKzXMTgQwImxBN/PtCd0TXCmkEa53vLszbxXWbZCrWlhvsBFfV42OxTD7NAAFsvenEXt+bDctGys1y3cNc09Gcm94mEDd89ksbLeQMvuzlTVgcPH8OQTj70ZmC8/9yyefOIxHHDx8bdlswmfpuHCdAY+Dx4mQe6VHQhgdiiGlXW2Y7hJkSf19YRbu0DlYwEsr3svMPf03Wajr9HE+ak0UuxTJpcbTW5MVV0vmV0Z3Tp25gI+89mn8OQTj+Hv/+rP8OQTj+Ezn30Kx85c6Phr74TZtFBrWrhvNoewn/uj0947OhqHJoJ6y9uLkXqF2bQQ9PGkvl7h0zVcmM4iZHhvh4yeDsuLJRMH83EUMuxrJG84mI/h4FAMi6XuPHkfO3MBjzz6CXzxb/4Cjzz6CdcG5aZlY2W9gXtmsnzwpY4JGjpOjyexwsV+AJxt1VJKYWW9gTOFNGeFe0jQ0HHfbA4t28a6hw4E6tmwfKPaQCYawHH2NZKH3JqqGkkEUexCb9fl557F15/+An7jd/4AX3/6C++6MbqBZSssluo4P5nGCE/tog4bT0eQiwU8N/LVCU62at2oNjCWCmM06f3jyOntYkEDF2cHUTZbqHtkS7meDMvVRgu2Au6aycJgXyN5jE/XcOd0BrGQgdUO9nbduvF95rNP4bd/74/fbMlwU2C2lcL1Ug3HxxKYHhxwuhzqA9rmYr9qw4Jl9/diP6datVqWjYalcJKL8ntWdiCAe2ezWKk2PLHHec8lyaZlY63Wwn2zWUQD7Gskbwr4dNw3m4Xfp+Nmh04Xu/LC5bfd+G7dGK+8cLkjr7ddSilcXzNxaDiOo6M8iIC6JxnxY244hqIHFyLtNSdatYqVOk6MJRALGh1/LXLOaDKM85NpLJXrrn8w7amwfGtB37nJFHIDQafLIdqVsN+HDxzMQUQ6MiX86Ccff9eN79iZC3j0k4/v+Wttl1IK10smpgejODnG0SXqvrmRGII+DbWGN6aJO6XbrVoVs4VYyMAMZ5L6wlRuACf3d29h+071VFi+XtoYheLBI9QrBoIG7j84CFsplPqkh1IphYWSiUI2ivlCmnurkiMCPh1nCmmsVht9exx9t1u1bKWwZjZxbjLNrSH7yNxwDHPDMVcH5p75aSxW6tiXDOMER6Gox8TDBj50aGjjRtLjgdneHFGezEZxbiINnUGZHDSaDGEsHcaNDrVCuV23W7WWKxsnc3JmuL+ICE6MJTGdi2KxZLry4bQnwvKNagMDAR/OTfLmSr0pHjbwwbkhiKBjPcxOs+2NoDyVi+IsgzK5gIjg1P4kmpbyxCKkvdbNVi2zacHQNa5P6FOaJpgvpDGRjWLBhYHZ82G5Ym7s03fPgSyCBvdipN4VDxn40NwQAobuyROQ3kvLtrFQMjE3HMOZAoMyucdA0MCJ/QksV3rrPecmt/ZUPjuR4n28j+ma4OxEGuPpMK6X664KzJ4Oy2bTQrXZwgcODmKAq2apD0QDPnzw0CDSYT8W1mqu+mWyU/WWheulOk6PJ3FiLMkeZXKdmcEYkmE/ymZvt0E5ZWW9gfFMGKPcR73v6Zrg/GQG+1MhVwVmz4blRsvG6noD9x3I8UQv6itBQ8e9szlM5aK4tlZDy8PTw2WziRvVJi4eyOLQcJzrDciVdE1wdjKNktmC7fItrrym0bKhoHBqf4rvfwKwcdbAm4G55I7A7Mmw3LRsFCt13D2TRT7B032o/xi6hrMTacwXUlgq11FteOfY0FuKFRMKwENH8hhL80h6crdMNMC9lzugWDExP55GhOci0FvcCsyFbMQVu2R4Liy3bBuLZRPnJ9MYz/AGS/1LRHAwH8cDh4fQaNlYrrhvUcTtNC0b127WkI+H8NCRPGeGyDOOjMYR4N7Le+ZGtYGRRAgF3svpNny6hnMTaUzloo4HZk+FZctWWCyZmB9P8ehbok25WBAPHx3GcCKEa2sm6k333sjXak2sVBqYL6Rw9zQX5ZK3BHw6zk70997Le6Vp2Wi0bMxPcC91ak/fPH5+bjiGhTUTLduZtkPPhGVrc1up42NJHBrm1jJEbxXy67hrOot7ZrKoNFooVpyftnqrpmVjYa2GsF/HI3fkMZuP8QZJnjSaDGMiE8FKj27h2C3Fch3zhRSPtKb3pWkb+zCfGk9isWQ6so2jJ5qEbgXlY/sSODLCoEx0OyKC8UwEg7EgfvzGTbx8vYyQoSMRdq7NwbIVVtbrADa2BJrMRhmSyfNOjidx9XIN9ZaFgI+zI9t1o9rAcCLI03Zpy0QEc8NxBH06vvuzZaTC/q7OTLo+LLdsG4ubI8pHRrhanuj9hPwbx/ROZaO4/PpNvHGzhojfh1jQ17X3j2UrrK7XYSngYH4Ah/JxhPwMFdQbwn4fzhZSeOaVZYxwkfm2NFo2mpaNM2y/oB2YzEUR9uv4zpUlNC27a9sGuzost6yNEeX58RRbL4i2KR0N4OJsDsVKHS9cXcMbN2swdA2JkAGf3pkOrHrTwk2zCShgZnAAs/kB7oFOPWk8E8Fry1UUKyZSkYDT5XiCUgpLFRN3TWX5e4F2LJ/YWBz+7StLWFmvI92F95+rw3KtZeHigRwX8xHtkIggNxDExYNB3Kw28LNiBa8uVdBoKQR8GgaCPhi7DM71loVSrQXLthHy6zgxlsD+dARhv6t/vRDtiojg9EQKX7v8BhotG36fZ5YAOWZlvYHxdAQTWe5+QbuTCPvx4Fwez75SxMKaicFYAFoHZ05dezfTNcFDc3nsS/NEH6K9kAj7cXJ/CkdHN47u/eVKFb9YqaJh2YACDF0Q8Onw+zT4dHnXLx7bVmjaGyvYzaYNy1aAAOGAjoPDAxhJhJGO+Dm1Sn0jGvBhvpDGd18tYiTBe9V7MZsWRID5Ag8fob0R8uu4bzaHH75+Ez+5VkI2GujYQ6trw7KhawzKRB1g6Bry8RDy8RDmCymUzBZKtSZWKnWsVptYqzVxs2a9YzcNBV00hAM6khE/MtEAkhE/4iEDUR4mQH1sIhPBL1fWsVypsx2jDVsprK43cPFgjjNOtKd8uobT4ylkIn5892crCBs6YqG9b/HhTy1RHxMRxEMG4iED+1Jvfzi1bAXLVhABNBHoHDEmehdNE8xPpPEvP3qDu2O0sVSpYzYfw2iSA2DUGYVsFMmIH//9chHXyyZy0b1ty2CTFRHdlq4J/D4Nhq4xKBO9h2jAhzOFNJYrPKzkncpmEwMBH47tSzhdCvW4RNiPBw/nMZ2NYmHNhLmHB3QxLBMREe1SIRNBIRPe3FecgI3DiNYbLdw1neUCSOoKv0/DmYk0Ls5msd5oYblS35MHWP70EhER7ZKI4PR4GppoqDXce+R8tyilsFQ2MT+eRiri3MFI1J/2pSL4lTuGMRQP4tqaifouR5kZlomIiPZAyK/jzqk0Vqt12HZ/t2MsVxqYyEQxPchT+sgZYb8P98xkcc9MFpVGC8WK+Y6F61vHsExERLRHRpJhzA3HsVg2nS7FMWWziaBfw2luE0cOExGMZyL48B0j2J+KYGHNRMVsbfv7MCwTERHtoTv2JZCM+LFWazpdStc1LRvrdQv3zOQQNLgzCLlDyK/j/FQGDxwegq4Lrq3V0GjZW/73DMtERER7yNA13DWVRb1lod7qn/5lWykslkycn2KfMrnTYCyIh47kcW4ijZLZxGLZRMt+/9DMsExERLTH4mED5ybSKJbrO+6T9JrFUh1zI3FMZNmnTO6la4LpwQF89PgIDg/HsFxpoFgxAaBtzxAPJSEiIuqAQjaKYqWBlxdLGIqFnC6no1bW6xiKBXCc+ymTRwQNHXfsS2IqN4CXFkqAbbedBuLIMhERUYccH0sgHQngRrXhdCkdUzabMHQNF6az8OmMFeQtkYAPp8ZTsGul1XZfs6ufahH5dRF5UURsETn1Hl/3gIhcEZFXReTTu3lNIiIir9gIkRnYSqHa2P4qfLczmxZqTQv3Hcgh5OeCPupNu30EfAHArwF4pt0XiIgO4K8BPAjgEICPi8ihXb4uERGRJwwEDdx7IIebtSaa1tZX4Ltd07Kxut7AvQeySHJBH/WwXYVlpdRLSqkr7/Nl8wBeVUr9XCnVAPBlAB/ZzesSERF5yWAsiHMTaSyWd34wgptYtsJSuY7zU2kMJ8JOl0PUUd1oLhoB8PpbPr66+bl3EZHHROSSiFwqFotdKI2IiKg7pnJRHB6O43rJhPJwYLaVwkKphuNjCUzlBpwuh6jj3jcsi8h/iMgLt/mz1dHh223FcdvfEkqpp5RSp5RSp7LZ7Ba/PRERkfuJCE6MJTGeDmOxUne6nB1RSmFhzcTccBxHRuJOl0PUFe+7dZxS6v5dvsZVAPve8vEogGu7/J5ERESeo2mCsxMZmFeWsFwxkYkGnS5py5RSuF4yMTMYxcmxJI+ypr7RjTaM7wOYFpGCiPgBfAzA17rwukRERK7j92m4eyaLaNDAyro3RphvBeXJbBTzhTQ0jUGZ+sdut477VRG5CuAcgG+IyDc3Pz8sIv8KAEqpFoDHAXwTwEsAvqKUenF3ZRMREXlX0NBxcTaHoKFj1eWB2d5svZjKRXFmIg2dQZn6jLh1kcGpU6fUpUuXnC6DiIioY9brLfznTxdRa1hIRwJOl/Mulq1wvVTDoXwcJ/cnOaJMPUtEnldK3fbMEB61Q0RE5JBIwIf7Dw4iEvChWDGdLudtmpaNhTUTx/YlcWqcQZn6F8MyERGRg8L+jcCciQSwsFZzxbZy1UYLxUodF6YzuGNfgov5qK8xLBMRETksaOi4dzaHyWwU19ZqaNnOnfR3o9pArWnjgbkhTOWijtVB5Bbvu3UcERERdZ6hazg3mUYibODSazeQCBsI+7t3m7ZshcWyidxAABems4gGGBGIAIZlIiIi1xARHBqOIxMN4JlXilgv15GO+qF1uA2ibDZRrrdwbF8Ch/Ix+HROPBPdwncDERGRy+RiQTxydBjjmTCul2qo1FsdeZ1Ga2MRn6FrePhIHkdHEwzKRO/AkWUiIiIXCho6zk1mMJGN4rmfr+LaWg3JkB8hv77r791o2Vit1mHoGs5OpDCRjXL/ZKI2GJaJiIhcbDAWxMNH83h9dR2XX1/DwloNIUNHLGhsazs3WylUzBaqTQt+n+DEWBKTuSgCvt2Hb6JexrBMRETkcromGM9EMZaKYKlcxytLZfxypQoFQBMgZOjw6xp0XaCJQCmgZdtotGyYTRuWbQMiGI4HcXowhaF4EAbbLYi2hGGZiIjIIzRNMBQPYigeRKNg40a1geVKHcVyHWu1JtZrFlq2gq5ttHEkwn5kogFkBvxIhv0IGhxFJtouhmUiIiIP8vs0DMaCGIwFnS6FqKdxDoaIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA2GZSIiIiKiNhiWiYiIiIjaYFgmIiIiImqDYZmIiIiIqA1RSjldw22JSBHAL5yuo4MyAJadLoJ2jNfPu3jtvI3Xz9t4/byr16/dfqVU9nb/w7VhudeJyCWl1Cmn66Cd4fXzLl47b+P18zZeP+/q52vHNgwiIiIiojYYlomIiIiI2mBYds5TThdAu8Lr5128dt7G6+dtvH7e1bfXjj3LRERERERtcGSZiIiIiKgNhmUHiMgDInJFRF4VkU87XQ9tnYj8nYgsicgLTtdC2yMi+0TkOyLykoi8KCKfcrom2joRCYrI90TkR5vX70+drom2R0R0EfmhiHzd6Vpoe0TkNRH5PxG5LCKXnK6n29iG0WUiogN4GcAHAVwF8H0AH1dK/cTRwmhLRORuABUA/6CUOux0PbR1IpIHkFdK/UBEBgA8D+CjfO95g4gIgIhSqiIiBoBnAXxKKfW/DpdGWyQifwjgFICYUuoRp+uhrROR1wCcUkr18j7LbXFkufvmAbyqlPq5UqoB4MsAPuJwTbRFSqlnAKw6XQdtn1JqQSn1g82/lwG8BGDE2apoq9SGyuaHxuYfjvZ4hIiMAngYwN86XQvRdjEsd98IgNff8vFV8IZN1FUiMg7gOIDnnK2EtmNzGv8ygCUA31JK8fp5x18C+CMAttOF0I4oAP8uIs+LyGNOF9NtDMvdJ7f5HEdHiLpERKIAvgrg95VSJafroa1TSllKqWMARgHMiwhboTxARB4BsKSUet7pWmjH7lRKnQDwIIDf3WxJ7BsMy913FcC+t3w8CuCaQ7UQ9ZXNXtevAviiUuqfnK6HdkYpdRPAfwF4wOFSaGvuBPDhzb7XLwO4KCL/6GxJtB1KqWub/10C8M/YaCntGwzL3fd9ANMiUhARP4CPAfiawzUR9bzNBWKfB/CSUurPna6HtkdEsiKS2Px7CMD9AH7qbFW0FUqpP1FKjSqlxrFxz/u2Uuo3HS6LtkhEIpuLoiEiEQAfAtBXO0IxLHeZUqoF4HEA38TGAqOvKKVedLYq2ioR+RKA/wFwQESuisgnna6JtuxOAL+FjVGty5t/HnK6KNqyPIDviMiPsTHo8C2lFLcgI+q8QQDPisiPAHwPwDeUUv/mcE1dxa3jiIiIiIja4MgyEREREVEbDMtERERERG0wLBMRERERtcGwTERERETUBsMyEREREVEbDMtERERERG0wLBMRERERtcGwTERERETUxv8DF5ycYIKfzOIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(model=gpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's inspect the hyperparameters we've learned:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "variance = 0.24471399188041687\n",
      "lengthscale = 0.5217688083648682\n",
      "noise = 0.04222287982702255\n"
     ]
    }
   ],
   "source": [
    "# tell gpr that we want to get samples from guides\n",
    "gpr.set_mode('guide')\n",
    "print('variance = {}'.format(gpr.kernel.variance))\n",
    "print('lengthscale = {}'.format(gpr.kernel.lengthscale))\n",
    "print('noise = {}'.format(gpr.noise))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the MAP values are different from the MLE values due to the prior."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sparse GPs\n",
    "\n",
    "For large datasets computing the log marginal likelihood is costly due to the expensive matrix operations involved (e.g. see Section 2.2 of [1]). A variety of so-called 'sparse' variational methods have been developed to make GPs viable for larger datasets. This is a big area of research and we won't be going into all the details. Instead we quickly show how we can use `SparseGPRegression` in `pyro.contrib.gp` to make use of these methods.\n",
    "\n",
    "First, we generate more data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "X = dist.Uniform(0.0, 5.0).sample(sample_shape=(N,))\n",
    "y = 0.5 * torch.sin(3*X) + dist.Normal(0.0, 0.2).sample(sample_shape=(N,))\n",
    "plot(plot_observed_data=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the sparse GP is very similar to using the basic GP used above. We just need to add an extra parameter $X_u$ (the inducing points)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the inducing inputs\n",
    "Xu = torch.arange(20.) / 4.0\n",
    "\n",
    "# initialize the kernel and model\n",
    "pyro.clear_param_store()\n",
    "kernel = gp.kernels.RBF(input_dim=1)\n",
    "# we increase the jitter for better numerical stability\n",
    "sgpr = gp.models.SparseGPRegression(X, y, kernel, Xu=Xu, jitter=1.0e-5)\n",
    "\n",
    "# the way we setup inference is similar to above\n",
    "optimizer = torch.optim.Adam(sgpr.parameters(), lr=0.005)\n",
    "loss_fn = pyro.infer.Trace_ELBO().differentiable_loss\n",
    "losses = []\n",
    "num_steps = 2500 if not smoke_test else 2\n",
    "for i in range(num_steps):\n",
    "    optimizer.zero_grad()\n",
    "    loss = loss_fn(sgpr.model, sgpr.guide)\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inducing points:\n",
      "[0.03890638 0.51997566 0.26106593 1.0221936  0.7851976  1.3309097\n",
      " 1.5923843  1.8223386  2.2960622  2.794138   2.082978   2.5219998\n",
      " 3.0490053  3.3228474  3.5942013  3.8977344  4.2026505  4.490753\n",
      " 4.7720113  4.9819574 ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# let's look at the inducing points we've learned\n",
    "print(\"inducing points:\\n{}\".format(sgpr.Xu.data.numpy()))\n",
    "# and plot the predictions from the sparse GP\n",
    "plot(model=sgpr, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the model learns a reasonable fit to the data. There are three different sparse approximations that are currently implemented in Pyro:\n",
    "\n",
    "- \"DTC\" (Deterministic Training Conditional)\n",
    "\n",
    "- \"FITC\" (Fully Independent Training Conditional)\n",
    "\n",
    "- \"VFE\" (Variational Free Energy) \n",
    "\n",
    "By default, `SparseGPRegression` will use \"VFE\" as the inference method. We can use other methods by passing a different `approx` flag to `SparseGPRegression`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More Sparse GPs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both `GPRegression` and `SparseGPRegression` above are limited to Gaussian likelihoods. We can use other likelihoods with GPs&mdash;for example, we can use the Bernoulli likelihood for classification problems&mdash;but the inference problem becomes more difficult. In this section, we show how to use the `VariationalSparseGP` module, which can handle non-Gaussian likelihoods. So we can compare to what we've done above, we're still going to use a Gaussian likelihood. The point is that the inference that's being done under the hood can support other likelihoods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lIoUhW0f+9wL/DPSl3yhgl7v3hPkOoClMNwHrAcLy3aH/Ucxsrpm1mVlbZ2d+D6m8Z0oDew/20LZ2R9SliIickgGHv5ndCGx194XpzRm6+iksO9Lgfp+7t7p7a319/UDLzKnLz6mjPB7juWUa+hGRwpCNI//LgZvMbC3wCKnhnnuBGjNLhD7NwMYw3QGMAwjLq4GCPmQeVpFgxtmjeE7j/iJSIAYc/u5+t7s3u/sE4DbgOXf/EPA8cEvoNgd4IkzPC/OE5c95EVwXedaUelZ37mPttn1RlyIiclK5PM//c8BnzKyd1Jj+/aH9fmBUaP8McFcOaxg0s85tBNDQj4gUhMTJu5w6d/8t8NswvRq4NEOfLuDWbL5uPhg/aijnNAznmaVb+Pi7JkZdjojICekbvll0zdRGXlqzQzd2F5G8p/DPomunjaY36Rr6EZG8p/DPoguaqhldVclTizdHXYqIyAkp/LMoFjOumdbI71Z0cuCQbvAiIvlL4Z9l104bTVd3khd1jX8RyWMK/yy7dOJIqoeU8dTiLVGXIiJyXAr/LCuLx7jq3AaeXbaFnl5d6E1E8pPCPweumdbIrv3dvLymoK9aISJFTOGfA1dObmBoeZxfLtoUdSkiIhkp/HNgSHmcq6c28ps3NtGtoR8RyUMK/xy58cKx7NzfzR/adXN3Eck/Cv8cuWJyHSMqE/xKQz8ikocU/jlSkYhz7bTRPPXGZg726AtfIpJfFP45dOOFY9h7sIffLdcXvkQkvyj8c+jyc+qoHVqmoR8RyTsK/xwqi8e47vwxPLN0i671IyJ5ReGfY++7cAz7D/XqMs8iklcGHP5mNs7MnjezpWa22Mw+HdpHmtl8M1sZHmtDu5nZt8ys3cwWmdn0gdaQz94xaRR1wyuY9/qGqEsRETksG0f+PcBn3f08YAZwp5lNJXVv3mfdvQV4liP36r0eaAk/c4HvZKGGvBWPGTddNJbnlm1l5z7d4UtE8sOAw9/dN7n7n8P0XmAp0ATMBh4M3R4Ebg7Ts4EfecoCoMbMxgy0jnz2gbc30d3r/HLRxqhLEREBsjzmb2YTgIuBl4BGd98EqR0E0BC6NQHr057WEdr6r2uumbWZWVtnZ2GfKjltbDXnjani8YUdUZciIgJkMfzNbDjwU+Af3X3PibpmaPNjGtzvc/dWd2+tr6/PVpmR+cD0JhZ17Gbllr1RlyIikp3wN7MyUsH/kLv/LDRv6RvOCY99p7t0AOPSnt4MFP14yOy3NRGPGY//WUf/IhK9bJztY8D9wFJ3/0baonnAnDA9B3girf0j4ayfGcDuvuGhYlY/ooL3TKnnF69uoDd5zB86IiKDKhtH/pcD/w2YZWavhZ8bgC8DV5vZSuDqMA/wJLAaaAf+E/iHLNRQED4wvZktew7ye13pU0QilhjoCtz992Qexwe4KkN/B+4c6OsWolnnNVAztIxHX1nHlZML/3MMESlc+obvIKpIxLllejNPL97C1r1dUZcjIiVM4T/Ibn/HeHqSzk/a9MGviERH4T/Izq4fzmWTRvHwy+v0wa+IREbhH4EPzRhPx84DvLCysL+8JiKFS+EfgWumjqZueDkPLVgXdSkiUqIU/hEoT8T469ZxPLdsCxt2HYi6HBEpQQr/iHzwHeMB+NGf1kZah4iUJoV/RJprh3L9+WP48Uvr2HewJ+pyRKTEKPwjdMfMiezt6uEnbetP3llEJIsU/hGaPr6W6eNreOAPa3Xap4gMKoV/xD4xcxLrduznmaVboi5FREqIwj9i10xtpLl2CP/5wmpSlz0SEck9hX/EEvEY/33mJNre3MmC1TuiLkdESoTCPw/8zSXjaBhRwbeeXRl1KSJSIhT+eaCyLM7fXnk2f1q9nZfX6OhfRHJP4Z8nPnjpeOqGl+voX0QGhcI/TwwpjzP3ikn8vn0bC9/U0b+I5FZk4W9m15nZcjNrN7O7oqojn3x4xlnUDS/nq79ZrjN/RCSnIgl/M4sD3wauB6YCt5vZ1ChqySdDyxN86qoWXlqzg98u1+WeRSR3ojryvxRod/fV7n4IeASYHVEteeX2S8czYdRQvvzrZfrWr4jkTFTh3wSkX9CmI7QdZmZzzazNzNo6O0vnKLgsHuN/XXsuy7fs5acLdatHEcmNqMLfMrQddZjr7ve5e6u7t9bX1w9SWfnhhgtG8/azavnKb5ax+0B31OWISBGKKvw7gHFp883AxohqyTtmxhdvmsbO/Yf45vwVUZcjIkUoqvB/BWgxs4lmVg7cBsyLqJa8dH5TNR+ecRY/+tNaFm/cHXU5IlJkIgl/d+8BPgk8BSwFHnP3xVHUks8+e/UUaoeWc8/P39CHvyKSVZGd5+/uT7r7ZHc/292/FFUd+ax6aBmff99UXlu/i++/uDrqckSkiOgbvnnupovGcu20Rv7P/BW0b90bdTkiUiQU/nnOzPi3my9gWHmczz72Ood6klGXJCJFQOFfAOpHVPCl91/A6x27+epvlkVdjogUAYV/gbjhgjHMuewsvv/7NTy9eHPU5YhIgVP4F5D//VfncWFzNZ/9yeus2bYv6nJEpIAp/AtIRSLOtz84nUTM+PgPX2HX/kNRlyQiBUrhX2DGjRzKfR9pZcPOA/ztfy2kq7s36pJEpAAp/AvQJRNG8rVbL+TltTv4+/+3kIM92gGIyOlR+Beo2W9r4ks3X8Dzyzv55I9f1SmgInJaFP4F7IPvGM8Xb5rG/CVbuOPBV9jbpSuAisipUfgXuDnvnMDXbrmQP63azl9/bwGbd3dFXZKIFACFfxG4tXUc93/0EtZt38cN33qR3y7fGnVJIpLnFP5F4srJ9TzxyXfRMKKCj/7gFf7ll0t462BP1GWJSJ5S+BeRcxqG84s7L+fDM8bzwB/WMOvrv+WJ1zbgrstBi8jRFP5FprIszr/dfAG/uPNyRldX8ulHXuPW7/6JP7Rv005ARA6zQgiE1tZWb2tri7qMgtObdB59ZT33PrOCrXsPcu7oEfzNJeN4/8VN1Awtj7o8EckxM1vo7q0Zlw0k/M3sa8D7gEPAKuBj7r4rLLsbuAPoBT7l7k+F9uuAfwfiwPfd/csnex2F/8B0dffy81c38PDL61jUsZvyRIwrWup473mNvHtKA6OrK6MuUURyIJfhfw3wnLv3mNlXANz9c2Y2FXgYuBQYCzwDTA5PWwFcTeom7q8At7v7khO9jsI/exZv3M3jCzt4evEWNuw6AEBz7RBaz6pl2thqzmkcTkvDcMZWDyEWs4irFZGBOFH4JwayYnd/Om12AXBLmJ4NPOLuB4E1ZtZOakcA0O7uq0Nhj4S+Jwx/yZ5pY6uZNraaz984lWWb9/KH9m0sfHMnf1y1nV+8tvFwvyFlccbWVDKmegiNVZXUj6igakiCqsoyRlQmqBpSRlVl33wZVUMSDCmLY6YdhkghGFD49/Nx4NEw3URqZ9CnI7QBrO/X/o4s1iCnyMw4b0wV542p4hMzU2079x2ivfMtVm55i1Wdb7Fh5wE27+li9aptdL51kO7eE/+VaJbaaZQnYiRiMcrjRiIeoyxulMVjlMVjJA5Ppx4TsbTpuFF+VJ/UskQsFtbZ77kZ1l0eD/0SMcpiMcoS4fn9Xvvwc2Mx/YUjJemk4W9mzwCjMyy6x92fCH3uAXqAh/qelqG/k/nsooyJYmZzgbkA48ePP1mZkgW1w8q5ZNhILpkw8phl7s7BniR7DnSzp6uHPV3d7O3qYW9XN3sOpOb3H+xh/6FeunuTHOp1enqTdPcm6U463T1JepKemu9N0tWd5K2unqP79aaW94T+3clUW28ytyclxGN2eMcSs9R8zAwzI2YQC49mRizWN5++zLC+6bA8/bnxkyxPX08sFl4nrd3S+sVj/Z979PLUOtKfm+F3OO66Mr/2ke1x9O9+1O8YO8Hy2JH5+HG2V6bXPvr3OHbd8ZMslxM7afi7+3tPtNzM5gA3Alf5kQ8QOoBxad2agb4xheO193/d+4D7IDXmf7I6JbfMjMqyOJVlcRqqBve1k0mnO5mkp9cP7yR6kkm6ezzsIFLLDvWm9wn9epNHtx/eER3Z2aQ/3x2S7uEntdNLJjlqvjdMJ90zLk+mLU+mLe9NOt29/dbtqbOyUus68pwj0+Exmb7OY1+nr39v0o/5HUpV+k6kb1dgBn1zqekjOwo7/J9+7Rn6Hdm32OHlJ1s/ac/r62eZXi/8p+9Z542p4j8+OH1gGyODAQ37hDN3Pgdc6e770xbNA35sZt8g9YFvC/Ayqd+nxcwmAhuA24APDqQGKX6xmFERi1ORzUHKEuL9dkaetsNJ3wn13/EcvSNJ29kd3iEdvZM5anny2HX3Hndnmbm2E732SWvr21EnU6+b2hBHhhk8rP/IPHiYO9w9THh6G5423dd+5Hn9+2Vaf18dmdcfajv8jwfjRw4d2P8AxzHQt9N/ABXA/LDXWuDuf+fui83sMVIf5PYAd7p7L4CZfRJ4itSpng+4++IB1iAiJ5AaboF4xtFYKVX6kpeISJE60ameuryDiEgJUviLiJQghb+ISAlS+IuIlCCFv4hICVL4i4iUIIW/iEgJKojz/M2sE3hzAKuoA7ZlqZxcyPf6IP9rzPf6QDVmQ77XB/lV41nuXp9pQUGE/0CZWdvxvuiQD/K9Psj/GvO9PlCN2ZDv9UFh1Aga9hERKUkKfxGRElQq4X9f1AWcRL7XB/lfY77XB6oxG/K9PiiMGktjzF9ERI5WKkf+IiKSRuEvIlKCijr8zew6M1tuZu1mdleEdYwzs+fNbKmZLTazT4f2kWY238xWhsfa0G5m9q1Q9yIzy/493DLXGTezV83sV2F+opm9FOp71MzKQ3tFmG8PyycMUn01Zva4mS0L2/KyfNqGZvZP4d/3DTN72Mwqo96GZvaAmW01szfS2k57m5nZnNB/Zbh1a65r/Fr4d15kZj83s5q0ZXeHGpeb2bVp7Tl5v2eqL23Z/zQzN7O6MB/JNjwjHm5/Vmw/pO4UtgqYBJQDrwNTI6plDDA9TI8AVgBTga8Cd4X2u4CvhOkbgF+Tuu3lDOClQarzM8CPgV+F+ceA28L0d4G/D9P/AHw3TN8GPDpI9T0IfCJMlwM1+bINgSZgDTAkbdt9NOptCFwBTAfeSGs7rW0GjARWh8faMF2b4xqvARJh+itpNU4N7+UKYGJ4j8dz+X7PVF9oH0fqroRvAnVRbsMz+r2ifPGc/mJwGfBU2vzdwN1R1xVqeQK4GlgOjAltY4DlYfp7wO1p/Q/3y2FNzcCzwCzgV+F/3m1pb8DD2zP8D39ZmE6Efpbj+qpCuFq/9rzYhqTCf314cyfCNrw2H7YhMKFfsJ7WNgNuB76X1n5Uv1zU2G/Z+4GHwvRR7+O+7Zjr93um+oDHgYuAtRwJ/8i24en+FPOwT9+bsU9HaItU+PP+YuAloNHdNwGEx4bQLYra7wX+GUiG+VHALnfvyVDD4frC8t2hfy5NAjqBH4Shqe+b2TDyZBu6+wbg68A6YBOpbbKQ/NqGfU53m0X9Xvo4qaNpTlDLoNZoZjcBG9z99X6L8qK+U1HM4Z/pbtWRntdqZsOBnwL/6O57TtQ1Q1vOajezG4Gt7r7wFGuIYtsmSP3p/R13vxjYR2rI4ngGexvWArNJDUWMBYYB15+ghrz7/5Pj1xRZrWZ2D9ADPNTXdJxaBq1GMxsK3AN8PtPi49SRd//exRz+HaTG5Po0AxsjqgUzKyMV/A+5+89C8xYzGxOWjwG2hvbBrv1y4CYzWws8Qmro516gxswSGWo4XF9YXg3syGF9fa/Z4e4vhfnHSe0M8mUbvhdY4+6d7t4N/Ax4J/m1Dfuc7jaL5L0UPhS9EfiQh7GSPKnxbFI7+dfDe6YZ+LOZjc6T+k5JMYf/K0BLONuinNSHavOiKMTMDLgfWOru30hbNA/o+9R/DqnPAvraPxLOHJgB7O77Mz0X3P1ud2929wmkttNz7v4h4HngluPU11f3LaF/To9i3H0zsN7MpoSmq4Al5Mk2JDXcM8PMhoZ/77768mYbpjndbfYUcI2Z1Ya/cK4JbTljZtcBnwNucvf9/Wq/LZwtNRFoAV5mEN/v7v4Xd29w9wnhPdNB6oSOzeTRNjypKD9wyNStDQIAAADTSURBVPUPqU/eV5A6C+CeCOt4F6k/8RYBr4WfG0iN8T4LrAyPI0N/A74d6v4L0DqItb6bI2f7TCL1xmoHfgJUhPbKMN8elk8apNreBrSF7fgLUmdN5M02BL4ILAPeAP6L1BkpkW5D4GFSn0F0kwqpO85km5Ead28PPx8bhBrbSY2R971fvpvW/55Q43Lg+rT2nLzfM9XXb/lajnzgG8k2PJMfXd5BRKQEFfOwj4iIHIfCX0SkBCn8RURKkMJfRKQEKfxFREqQwl9EpAQp/EVEStD/B59CkpdN39n2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the inducing inputs\n",
    "Xu = torch.arange(10.) / 2.0\n",
    "\n",
    "# initialize the kernel, likelihood, and model\n",
    "pyro.clear_param_store()\n",
    "kernel = gp.kernels.RBF(input_dim=1)\n",
    "likelihood = gp.likelihoods.Gaussian()\n",
    "# turn on \"whiten\" flag for more stable optimization\n",
    "vsgp = gp.models.VariationalSparseGP(X, y, kernel, Xu=Xu, likelihood=likelihood, whiten=True)\n",
    "\n",
    "# instead of defining our own training loop, we will\n",
    "# use the built-in support provided by the GP module\n",
    "num_steps = 1500 if not smoke_test else 2\n",
    "losses = gp.util.train(vsgp, num_steps=num_steps)\n",
    "plt.plot(losses);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
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    }
   ],
   "source": [
    "plot(model=vsgp, plot_observed_data=True, plot_predictions=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's all there is to it. For more details on the `pyro.contrib.gp` module see the [docs](http://docs.pyro.ai/en/dev/contrib/gp.html). And for example code that uses a GP for classification see [here](https://github.com/pyro-ppl/pyro/blob/dev/examples/contrib/gp/sv-dkl.py)."
   ]
  },
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   "metadata": {},
   "source": [
    "## Reference\n",
    "\n",
    "[1] `Deep Gaussian processes and variational propagation of uncertainty`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Andreas Damianou\n",
    "\n",
    "[2] `A unifying framework for sparse Gaussian process approximation using power expectation propagation`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Thang D. Bui, Josiah Yan, and Richard E. Turner\n",
    "\n",
    "[3] `Scalable variational Gaussian process classification`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "James Hensman, Alexander G. de G. Matthews, and Zoubin Ghahramani\n",
    "\n",
    "[4] `Gaussian Processes for Machine Learning`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Carl E. Rasmussen, and Christopher K. I. Williams\n",
    "\n",
    "[5] `A Unifying View of Sparse Approximate Gaussian Process Regression`,<br />&nbsp;&nbsp;&nbsp;&nbsp;\n",
    "Joaquin Quinonero-Candela, and Carl E. Rasmussen"
   ]
  }
 ],
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